Establishing a Product Line. National Metals Company (NMC) manufactures titanium shafts. Its equipment is capable of producing shafts in 10 lengths (in cm) as shown in the chart below, reflecting settings on its machinery. Setting up the machinery to produce one of these results costs $250. As a result, NMC has decided to make only a selected number of lengths. When a customer requests a given length, NMC may supply it from stock, if it happens to match one of the lengths in the production schedule. Otherwise, NMC trims a longer length to meet the order. The variable cost for producing the shafts is $20 per cm, and NMC receives revenue of $40 per cm. Trim waste can be sold to a recycler for $15 per cm. The demand requirements for the coming week are tabulated as follows; all demand must be satisfied.

A. WHAT IS THE OPTIMAL ASSORTMENT OF LENGTHS FOR NMC TO MANUFACTURE?

B. WHAT IS THE OPTIMAL PROFIT IN THE COMING WEEK?

THIS IS A LINEAR PROGRAMMING QUESTION. SO PLEASE EXPLAIN WITH OBJECTIVE FUNCTION, DECISION VARIABLES, CONSTRAINTS EQUATIONS AND ALSO WITH EXCEL SPREADSHEET

In Major League Baseball, the American League (AL) allows a designated hitter (DH) to bat in place of the pitcher, but in the National League (NL), the pitcher has to bat. However, when an AL team is the visiting team for a game against an NL team, the AL team must abide by the home team’s rules, and thus, the pitcher must bat. A researcher is curious if an AL team would score more runs for games in which the DH was used. She samples 20 games for an AL team for which the DH was used, and 20 games for which there was no DH. The data are below. The population standard deviation for runs scored is known to be 2.54 for both groups. Assume the populations are normally distributed.

Is there evidence to suggest that more runs are scored in games for which the DH is used? Use α=0.10.

Enter the test statistic - round to 4 decimal places.

z =   

In Major League Baseball, the American League (AL) allows a designated hitter (DH) to bat in place of the pitcher, but in the National League (NL), the pitcher has to bat. However, when an AL team is the visiting team for a game against an NL team, the AL team must abide by the home team’s rules, and thus, the pitcher must bat. A researcher is curious if an AL team would score more runs for games in which the DH was used. She samples 20 games for an AL team for which the DH was used, and 20 games for which there was no DH. The data are below. The population standard deviation for runs scored is known to be 2.49 for both groups. Assume the populations are normally distributed. DH no DH 0 3 8 6 10 2 2 4 3 0 4 5 7 7 8 6 6 1 5 8 1 12 1 4 5 6 4 3 4 4 3 0 8 5 11 2 11 1 0 4 Is there evidence to suggest that more runs are scored in games for which the DH is used? Use α=0.10. Enter the P-Value - round to 4 decimal places. p-value =

Wilson Publishing Company produces books for the retail market. Demand for a current book is expected to occur at a constant annual rate of 6,900 copies. The cost of one copy of the book is $12. The holding cost is based on an 18% annual rate, and production setup costs are $130 per setup. The equipment on which the book is produced has an annual production volume of 24,000 copies. Wilson has 250 working days per year, and the lead time for a production run is 15 days. Use the production lot size model to compute the following values:

1. Minimum cost production lot size. Round your answer to the nearest whole number. Do not round intermediate values.
   
   Q^* =
   
2. Number of production runs per year. Round your answer to two decimal places. Do not round intermediate values.
   
   Number of production runs per year =
   
3. Cycle time. Round your answer to two decimal places. Do not round intermediate values.
   
   T = _________ days
   
4. Length of a production run. Round your answer to two decimal places. Do not round intermediate values.
   
   Production run length = _________ days
   
5. Maximum inventory. Round your answer to the nearest whole number. Do not round intermediate values.
   
   Maximum inventory = _______
   
6. Total annual cost. Round your answer to the nearest dollar. Do not round intermediate values.
   
   Total annual cost =_________ $  
   
7. Reorder point. Round your answer to the nearest whole number. Do not round intermediate values.
   
   r = ___________

A sample of 30 diabetic women was taken at a health center, and the age at which the disease appeared was recorded, as shown in the table

Get the following probability distribution

Using JAVA

2. A run is a sequence of adjacent repeated values. Write a code snippet that generates a sequence of 20 random die tosses in an array and that prints the die values, marking the runs by including them in parentheses, like this:

1 2 (5 5) 3 1 2 4 3 (2 2 2 2) 3 6 (5 5) 6 (3 3)

Use the following pseudocode:

inRun = false

for each valid index i in the array

If inRun

If values [i] is different from the preceding value

Print )

inRun = false

If not inRun

If values[i] is the same as the following value

Print (

inRun = true

Print values[i]

//special processing to print last value

If inRun and last value == previous value, print  “ “ + value + “)”)

else if inRun and last value != previous value, print  “) “ + value )

else print “ “ + last value

3.

Implement a theater seating chart  as a two-dimensional array of ticket prices, like this:

{10, 10, 10, 10, 10, 10, 10, 10, 10, 10}

{10, 10, 10, 10, 10, 10, 10, 10, 10, 10}

{10, 10, 10, 10, 10, 10, 10, 10, 10, 10}

{10, 10, 20, 20, 20, 20, 20, 20, 10, 10}

{10, 10, 20, 20, 20, 20, 20, 20, 10, 10}

{10, 10, 20, 20, 20, 20, 20, 20, 10, 10}

{20, 20, 30, 30, 40, 40, 30, 30, 20, 20}

{20, 30, 30, 40, 50, 50, 40, 30, 30, 20}

{30, 40, 50, 50, 50, 50, 50, 50, 40, 30}

Write a code snippet that:

- uses a for loop to print the array with spaces between the seat prices

- prompts users to pick a row and a seat using a while loop and a sentinel to stop the loop.

- outputs the seat price to the user.

4. A pet shop wants to give a discount to its clients if they buy one or more pets and at least three other items. The discount is equal to 20 percent of the cost of the other items, but not the pets.

Write a program that prompts a cashier to enter each price and then a Y for a pet or N for another item. Use a price of –1 as a sentinel. Save the price inputs in a double(type) array and the Y or N in a corresponding boolean (type) array.

Output the number of items purchased, the number of pets purchased, the total sales amount before discount and the amount of the discount.

-----------------

Thank you so much!

Suppose that you pick a bit string from the set of all bit strings of length ten. Find the probability that

1. the bit string has exactly two 1s;
2. the bit string begins and ends with 0;
3. the bit string has the sum of its digits equal to seven;
4. the bit string has more 0s than 1s;
5. the bit string has exactly two 1s, given that the string begins with a 1.

Suppose that you pick a bit string from the set of all bit strings of length ten. Find the probability that

1. the bit string has exactly two 1s;
2. the bit string begins and ends with 0;
3. the bit string has the sum of its digits equal to seven;
4. the bit string has more 0s than 1s;
5. the bit string has exactly two 1s, given that the string begins with a 1.

Exhibit 2 Quantity Sold Price (units) Total Cost $10 10 $80 9 20 100 8 30 130 7 40 170 6 50 230 5 60 300 4 70 380 A single-price monopolist is a monopolist that sells each unit of its output for the same price to all its customers. Refer to Exhibit 2. A single-price monopolist that seeks to maximize profits will sell __________ units and charge a per-unit price of __________. Group of answer choices

20; $9

40; $7

50; $6

10; $10

7; $40

Homework #6

which of the following values cannot be probabilities of events.

select all that apply.

15, 0.94, -0.59, 1.58, 53, 0.0, -27, 1.0

#3.
In a group of people, some are in favor of a tax increase on rich people to reduce the federal deficit and others are against it. (Assume that there is no other outcome such as "no opinion" and "do not know.") There persons are selected at random from this group and their opinions in favor or against raising such taxes are noted. How many total outcomes are possible?

#4. Show outcomes and classify events are simple and compound.

An automated teller machine at a local bank is stocked with $10 and $20 bills. when a customer withdraws $40 from the machine, it dispenses either two $20 bills or four $10 bills

Let T= the ATM dispenses two $20 bills.
Let F= the ATM dispenses four $10 bills.
Two customers withdraw $40 each

Part 1.

How many outcomes are there?

#5. A hat contains 33 marbles. Of them, 18 are red and 15 are green. If one marble is randomly selected out of this hat, what is the probability that this marble is green?

Round your answer to two decimal places.

P(A)=

#6. A regular, six-sided die is rolled once .

Round your answers to four decimal places.

(a) What is the probability that a number less than 4 is obtained?

P( a number less than 4 is obtained)=

(b) what is the probability that a number 3 to 6 is obtained?

P( a number 3 to 6 is obtained)=

#7. A random sample of 1498 adults showed that 812 of them have shopped at least once on the internet. What is the (approximate) probability that a randomly selected adult has shopped on the internet.

Round your answer to three decimal places.

#8 Out of the 3572 families who live in an apartment complex in New York City, 623 paid no income tax last year. What is the probability that a randomly selected family from these 3572 families paid income tax last year?

Round your answer to three decimal places.

#9. A television game show has a game called the shell game. The game has six shells, and one of those six shells has a ball under it. The contestant chooses one shell. If this shell contains the ball, the contestant wins. If a contestant chooses one shell randomly, what is the probability of each of the following outcomes.

(a) contestant wins?

Round your answer to two decimal places.

P( the contestant wins)=

(b) contestant loses

Round your answer to two decimal places.

P( the contestant loses)

Do these two probabilities add up to 1.0?

#10. In a large city, 15,000 workers lost their job last year. Of them, 7900 lost their jobs because their companies closed down or moved, 4200 lost their jobs due to insufficient work, and the remainder lost their jobs because their position were abolished.

(a) If one of these 15,000 workers is selected at random, find the probability that this worker lost his or her job because the company closed down or moved.

The Probability is=

(b) If one of these 15,000 workers is selected at random, find the probability that this worker lost his or her job due to insufficient work.

The probability is=

(c) If one of these workers is selected at random, find the probability that this worker lost his or her job because the position was abolished.

The Probability is=

Do these probabilities add up to 1.0?