Suppose that a perfectly competitive firm is currently producing 100 units of output. If the short-run marginal cost of producing the 100^th unit is greater than the price at which that unit can be sold, how must this firm alter its labor input in order to maximize profit

Using the below program as a starting point

C++ Program - Arrays- Chapter 9

    Include the following header files in your program:     string, iomanip, iostream
Suggestion: code steps 1 thru 4 then test then add requirement 5, then test, then add 6, then test etc. Add comments to display assignment //step 1., //step 2. etc. This program is to have no programer created functions. Just do everything in main and make sure you comment each step so I can grade more easily.
C++ Program Pointers
Before starting on this project you should make sure points 1 to 15 are working properly from Chapter 7 Arrays project.
This program is to have no programer created functions. Just do everything in main and make sure you comment each step so I can grade more easily.
C++ Program Extension - This will be graded as a separate program but will add the following to Chapter 7 Arrays project. Don't forget to include comments with the corresponding number.

Extend the Array project to include:
16. Define a pointer to a double, pdArray.
17. Assign the pointer, pdArray, to contain the address of the double array, dArr:
18. Use the array name, dArr, to print out the array elements with subscript notation, [ ]. All on 1 line a space between each.
19. Use the pointer to print out the array elements with pointer notation while not changing the pointer itself. Use a for loop. *( pdArray + Cnt1) would be an example. All on 1 line a space between each.
20. Use the pointer to print out the array elements with pointer notation but change the pointer to point to the actual array element rather than the method in 18. All on 1 line.
*pdArray would do this if the loop has the following post loop operation:   pdArray++
21. Use the array name for the double array and pointer notation to print the entire array, all on one line.
22. Using a different pointer, piArray, allocate enough memory for 100 int's and assign the address to the pointer.
23. In a for loop assign every item in the array to be a random number from 1 to 49 ( hint: rand() % 6 + 1 gives random numbers from 1 to 6 )
24. Using cout print the first 10 items in the array, all on 1 line.

USE THIS PROGRAM AS STARTING POINT

//Christopher Cupani
//Sept 22, 2019
//Online class
//Chapter 7
#include <iostream>
#include <istream>
#include <string>
#include <iomanip>
#include <cstring>
using namespace std;

int main()
{
   //The variables are declare
   double dArr[5];
   double lArr[7] = { 100000, 134567, 123456, 9, -234567, -1, 123489 };
   int iArr[3][5];
   char sName[30] = { 'C','h','r','i','s' };
   //define variables cnt1 and cnt2 (short data types)
   short cnt1, cnt2;
   long double total = 0;
   //define one long variable and it call highest
   long highest;
   // 4
   int i;
   //Create a loop to put a random number into each of the elements
   //of the array of double.
   srand(time(0));
   for (i = 0; i < 5; i++) {
       double f = (double)rand() / RAND_MAX;
       dArr[i] = 1 + f * (49);
   }
   //Create a for loop to display all of the values in dArr.
   for (i = 0; i < 5; i++) {
       cout << dArr[i] << " ";
   }
   cout << endl;
   // loop to add up the array of double, dArr, into the
   //variable total
   for (i = 0; i < 5; i++) {
       total += dArr[i];
   }
   //display the total
   cout << "Total of double array is " << total << endl;
   //display the average
   cout << "Average of double array is " << total / 5 << endl;
   // Create a for loop that was like example in the instructions
   //to the following for the long array, lArr.
   for (cnt1 = 1, highest = lArr[0]; cnt1 < 7; cnt1++)
   {
       //logic to compare each array element, starting with lArr[1], with highest
       //replace highest if the value in lArr[cnt] is higher than the value in variable highest
       if (highest < lArr[cnt1])
           highest = lArr[cnt1];
   }
   //display the highes value
   cout << "Highest is " << highest << endl;
   //generate random number in 2d array between 1 to 53
   for (cnt1 = 0; cnt1 < 3; cnt1++)
   {
       for (cnt2 = 0; cnt2 < 5; cnt2++) {
           iArr[cnt1][cnt2] = rand() % (53) + 1;
       }
   }
   cout << endl;
   //Display the 2 d array with setw(3)
   cout << "iArr is " << endl;
   for (cnt1 = 0; cnt1 < 3; cnt1++)
   {
       for (cnt2 = 0; cnt2 < 5; cnt2++) {
           cout << setw(3) << iArr[cnt1][cnt2];
       }
       cout << endl;
   }
   cout << endl;
   //Display 2d array iArry column wise
   cout << "iArry print in column wise " << endl;
   for (cnt1 = 0; cnt1 < 5; cnt1++)
   {
       for (cnt2 = 0; cnt2 < 3; cnt2++) {
           cout << setw(3) << iArr[cnt2][cnt1];
       }
       cout << endl;
   }
   cout << endl;
   //Use cin.getline( ...... ) to add another name into variable sName.
   cout << "Enter the name " << endl;
   cin.getline(sName, 30);
   //Display the name
   cout << sName << endl;
   cnt1 = 0;
   //Display the ascii value of each character in the char array,
   //1 per line. Use a while loop to look for the '\0' as a signal to end.
   while (sName[cnt1] != '\0') {
       cout << sName[cnt1] << " Ascci is " << int(sName[cnt1]) << endl;
       cnt1++;
   }
   //Entering Albert Einstein to sName array and
   //using strcpy_s function.
   strcpy_s(sName, "Albert Einstein");
   cout << sName << endl;
   //Display the ascii of 12th character
   cout << "12th character ascii value is " << int(sName[12]);

   return 0;
}

A cruise line estimates that it can sell 3,400 tours to Alaska at a price of $900 each, but it will lose 100 sales for each $50 increase in its price. Let p be the price and q the number of tours sold.

(a) Write q as a linear function of p.

(b) Write the revenue R as a function of p and find the marginal revenue with respect to p (i.e., the rate of change of R with respect to p).

(c) Suppose it costs $400 per passenger to operate the tour. Write the cost as a function of the price p and find the marginal cost with respect to p.

(d) Find the marginal profit with respect to p.

(e) The company priced its tour at $1,050 last year. If it increases the price this year, will it increase or decrease its profit? Explain your answer.

(f) Answer the same question and explain your answer if last year’s price was $1,550.

Suppose the inverse demand for a product produced by a single firm is given by P = 200 − 5Q and this firm has a marginal cost of production of MC = 20 + 2Q.

a. If the firm cannot price-discriminate, what is the profit-maximizing price and level of output for this monopolist? What are the levels of producer and consumer surplus in the market? What is the deadweight loss?

b. If the monopolist can practice perfect price discrimination, what output level will it choose? What are the levels of producer and consumer surplus and deadweight loss under perfect price discrimination?

c. Suppose that the monopolist’s marginal cost curve is now MC = 20. If the monopolist cannot perfectly price discriminate but can distinguish between students (with a demand curve of P = 100 − 10Q) and non-students (with a demand curve of P = 300 − 10Q), what will be the price it is charging to students and non-students? What will be the quantity it is selling to students and non-students?

1. The global demand for cocoa can be represented with the following equation:

P=50 - 0.25Q, where P is the price (dollars per 100 lbs.), and Q is quantity. Furthermore, assume that cocoa can be produced at a constant marginal and average cost of $10 per unit of Q.

Cocoa producers have formed a cartel, aimed at realizing the monopoly price for cocoa.

Given the demand equation and marginal cost specified above, what is the monopoly price and quantity?

The monopoly sets MC=MR for profit maximization

MR = twice the slope of the demand curve

MR = 50-0.50Q

MC = 10

50-0.50Q = 10

50-10 = 0.50Q

Q = 40/0.50 = 80

P = 50-0.25*80 = 30

1. In perfect competition, the market price will equal marginal cost. What’s the competitive price and quantity and how does that compare to the monopoly price and quantity?

Q. The example uses the following data for 2007 :

P_G = wholesale price of natural gas ($ per 1000 cubic feet)

P_O = average price of a barrel of crude oil = $50,

Production and consumption of natural gas were 23 trillion cubic feet,

Supply of Natural Gas (trillion of cubic feet): QS = 15.90 + 0.72P_G + 0.05P_O

Demand for Natural Gas (trillion of cubic feet) QD = 0.02 – 1.8 P_G + 0.69P_O

a. Find the equilibrium price for natural gas

b. Suppose the regulated price of gas were $7.00 per thousand cubic feet instead of $3.00. How much excess demand or supply would there have been?

b. Suppose the market for natural gas remained unregulated.   If the price of oil increased from $50 to $100, calculate the cross- price elasticity of natural gas with respect to crude oil.

The following information is available for the employees of Webber Packing Company for the first week of January Year 1:

1. Kayla earns $25 per hour and 1½ times her regular rate for hours over 40 per week. Kayla worked 50 hours the first week in January. Kayla’s federal income tax withholding is equal to 8 percent of her gross pay. Webber pays medical insurance of $85 per week for Kayla and contributes $48 per week to a retirement plan for her.
2. Paula earns a weekly salary of $1,150. Paula’s federal income tax withholding is 19 percent of her gross pay. Webber pays medical insurance of $100 per week for Paula and contributes $100 per week to a retirement plan for her.
3. Vacation pay is accrued at the rate of 2 hours per week (based on the regular pay rate) for Kayla and $85 per week for Paula.

Assume the Social Security tax rate is 6.0 percent on the first $110,000 of salaries and the Medicare tax rate is 1.5 percent of total salaries. The state unemployment tax rate is 5.4 percent and the federal unemployment tax rate is 0.6 percent of the first $7,000 of salary for each employee.

c. Prepare the journal entry to record the payment of the payroll for the week. (If no entry is required for a transaction/event, select "No journal entry required" in the first account field. Do not round intermediate calculations. Round your answers to 2 decimal places.)

Journal entry worksheet

• Record the entry for payment of the payroll for the week.

Note: Enter debits before credits.

please answer all thequestion :

1-The diastolic blood pressure (in mm Hg) of 84 patients with hypertension was:

88 98 78 84 77 81 90 82 75 72 92 85 92 77 84 77 82 100
92 88 74 80 95 90 87 80 83 77 86 80 88 90 79 82 93 100
80 85 96 85 90 84 82 95 88 97 80 88 94 92 88 96 90 103
88 86 84 90 98 88 86 95 97 88 75 82 90 98 84 97 84 102
88 78 80 82 86 90 85 95 88 86 90 101

Based on this information, construct a frequency distribution in order to answer the following questions.

a. Calculate the range. ........

b. Calculate the value of:
(1) First quartile score. (compute to whole number) ............
(2) Third quartile score. (compute to whole number) ........
(3) 90th percentile score. (compute to the first decimal) ........
(4) Percentile rank of a score of 81.............  th
(5) Percentile rank of a score of 87............. th

2-Calculate the value of:

First quartile score. (compute to the first decimal).........
Third quartile score. (compute to the first decimal).........
90th percentile score. (compute to the second decimal) .........
Percentile rank of a score of 81.......... th
Percentile rank of a score of 87......... th

3- Calculate the percentage of scores with stays greater than one week............ %

4- Calculate the percentage of scores with stays greater than two weeks.........  %

2. Consider a bond with the following features: Maturity = 7 years Face value = $1,000 Coupon rate = 4% Semiannual coupons Price = $993

What is this bond's YTM stated as an annual rate?

A 3.2500%

B 4.1161%

C 2.0581%

D 6.500%

3. Maturity (years) = 5 Face Value = $1,000 Coupon Rate = 3.00% Price = $900 Coupon (Annual)

What is the YTM (annual) of the above bond?

A 5.38%

B 5.30%

C 5.33%

D 4.80%

E 5.36%

5. Maturity (years) = 5 Face Value = $1,000 Coupon Rate = 6.00% Current Price = $965 Coupon dates (Semiannual)

What is the YTM (annual) of the above bond?

A 5.95%

B 3.45%

C 6.91%

D 3.42%

E 6.84%

6. Maturity (years) 5 Face Value = $1,000 Coupon Rate = 5.00% Current Price = $1,100 Coupon dates (Annual) Time to call (years) 3 Price if Called $1,050.00

What is the bond's yield to call (YTC) (annual) if the bond is called at its first possible date?

A 1.56%

B 4.55%

C 3.08%

D 3.11%

E 4.59%

7. Maturity (years) 5 Face Value = $1,000 Coupon Rate = 3.00% Current Price = $1,100 Coupon dates (Annual) Time to call (years) 3 Price if Called $1,030.00

What is the bond's yield to call (YTC) (annual) if the bond is called at its first possible date?

A 0.62%

B 2.73%

C -0.31%

D 0.63%

E 2.75%

8. Maturity (years) 9 Face Value = $1,000 Coupon Rate = 5.00% Current Price = $980 Coupon dates (Annual) Time to call (years) 6 Price if Called $1,050

What is the bond's yield to call (YTC) (annual) if the bond is called at its first possible date?

A 6.18%

B 5.40%

C 5.28%

D 6.12%

E 5.73%

A local pizzeria sells 500 large pepperoni pizzas per week at a price of $20 each. Suppose the owner of the pizzeria tells you that the price elasticity of demand for his pizza is -2, and he asks you for advice. He wants to know two things. First, how many pizzas will he sell if he cuts his price by 10%? Second, how will his revenue be affected?

If he cuts his price by 10%, his sales will increase to ___ pizzas, and his total revenue will increase to $___.