An analyst has created estimates for a new Putt Putt course near the local elementary school. The course will require an investment (building and equipment) at year 0 of $166,994.00. This amount can be depreciated over 5 years using the straight-line approach. The building can be sold for an NSV of $42,903.00 in year 5. The entrepreneur needs help estimating the cash flows for the business.

The investor wants an 9.00% return on the investment and the firm faces a 35.00% tax rate.

What is the NPV of this project?

Need for renter's insurance. Charles and Layla Moore, both graduate students, moved into an apartment near the university. Layla wants to buy renter’s insurance, but Charlesthinks that they don’t need it because their furniture isn’t worth much. Layla points out that, among other things, they have some expensive computer and stereo equipment. To help the Moores resolve their dilemma, suggest a plan for deciding how much insurance to buy and give them some ideas for finding a policy.

Question 98)

Part 1)

A charged cloud system produces an electric field in the air near Earth's surface. A particle of charge -2.1 × 10^-9 C is acted on by a downward electrostatic force of 4.0 × 10^-6 N when placed in this field. (a) What is the magnitude of the electric field? (b) What is the magnitude of the electrostatic force on a proton placed in this field? (c) What is the gravitational force on the proton? (d) What is the ratio of the electrostatic force to the gravitational force in this case?

Part 2)

A block with a mass of 11.1 g and a charge of +6.70 × 10^-5 C is placed in an electric field with x component E_x = 2.77 × 10³ N/C, y component E_y = -728 N/C, and z component E_z = 0. (a) What is the magnitude of the electrostatic force on the block and (b) what angle does that force make with the positive x direction? If the block is released from rest at the origin at time t = 0, what are its (c) x and (d) y coordinates at t = 2.80 s?

Part 3)

An electron is shot at an initial speed of v₀ = 4.62 × 10⁶ m/s, at angle θ₀ = 40.9 ˚ from an x axis. It moves through a uniform electric field E→ = (5.40 N/C)j→. A screen for detecting electrons is positioned parallel to the y axis, at distance x = 1.84 m. What is the y component of the electron's velocity (sign included) when the electron hits the screen?

An analyst has created estimates for a new Putt Putt course near the local elementary school. The course will require an investment (building and equipment) at year 0 of $166,994.00. This amount can be depreciated over 5 years using the straight-line approach. The building can be sold for an NSV of $42,903.00 in year 5. The entrepreneur needs help estimating the cash flows for the business.

The investor wants an 9.00% return on the investment and the firm faces a 35.00% tax rate.

a) What is the project cash flow for year 1?

b) What is the project cash flow for year 2?

c) What is the NPV of this project?

Thirty small communities in Connecticut (population near 10,000 each) gave an average of x = 138.5 reported cases of larceny per year. Assume that σ is known to be 40.3cases per year.

(a) Find a 90% confidence interval for the population mean annual number of reported larceny cases in such communities. What is the margin of error? (Round your answers to one decimal place.)

(b) Find a 95% confidence interval for the population mean annual number of reported larceny cases in such communities. What is the margin of error? (Round your answers to one decimal place.)

(c) Find a 99% confidence interval for the population mean annual number of reported larceny cases in such communities. What is the margin of error? (Round your answers to one decimal place.)

(d) Compare the margins of error for parts (a) through (c). As the confidence levels increase, do the margins of error increase?

As the confidence level increases, the margin of error increases.

(e) Compare the lengths of the confidence intervals for parts (a) through (c). As the confidence levels increase, do the confidence intervals increase in length?

As the confidence level increases, the confidence interval increases in length.

Wally’s Widget Company (WWC) incorporated near the end of 2011. Operations began in January of 2012. WWC prepares adjusting entries and financial statements at the end of each month. Balances in the accounts at the end of January are as follows: Cash $ 18,770 Unearned Revenue (25 units) $ 4,400 Accounts Receivable $ 9,800 Accounts Payable (Jan Rent) $ 1,400 Allowance for Doubtful Accounts $ (950) Notes Payable $ 14,000 Inventory (30 units) $ 2,400 Contributed Capital $ 5,100 Retained Earnings – Feb 1, 2012 $ 5,120 • WWC establishes a policy that it will sell inventory at $160 per unit. • In January, WWC received a $4,400 advance for 25 units, as reflected in Unearned Revenue. • WWC’s February 1 inventory balance consisted of 30 units at a total cost of $2,400. • WWC’s note payable accrues interest at a 12% annual rate. • WWC will use the FIFO inventory method and record COGS on a perpetual basis. February Transactions 02/01 Included in WWC’s February 1 Accounts Receivable balance is a $1,600 account due from Kit Kat, a WWC customer. Kit Kat is having cash flow problems and cannot pay its balance at this time. WWC arranges with Kit Kat to convert the $1,600 balance to a note, and Kit Kat signs a 6-month note, at 12% annual interest. The principal and all interest will be due and payable to WWC on August 1, 2012. 02/02 WWC paid a $550 insurance premium covering the month of February. The amount paid is recorded directly as an expense. 02/05 An additional 120 units of inventory are purchased on account by WWC for $9,000 – terms 2/15, n30. 02/05 WWC paid Federal Express $240 to have the 120 units of inventory delivered overnight. Delivery occurred on 02/06. 02/10 Sales of 90 units of inventory occurred during the period of 02/07 – 02/10. The sales terms are 2/10, net 30. 02/15 The 25 units that were paid for in advance and recorded in January are delivered to the customer. 02/15 10 units of the inventory that had been sold on 2/10 are returned to WWC. The units are not damaged and can be resold. Therefore, they are returned to inventory. Assume the units returned are from the 2/05 purchase. 02/16 WWC pays the first 2 weeks wages to the employees. The total paid is $2,300. 02/17 Paid in full the amount owed for the 2/05 purchase of inventory. WWC records purchase discounts in the current period rather than as a reduction of inventory costs. 02/18 Wrote off a customer’s account in the amount of $1,050. 02/19 $2,800 of rent for January and February was paid. Because all of the rent will soon expire, the February portion of the payment is charged directly to expense. 02/19 Collected $8,100 of customers’ Accounts Receivable. Of the $8,100, the discount was taken by customers on $4,000 of account balances; therefore WWC received less than $8,100. 02/26 WWC recovered $410 cash from the customer whose account had previously been written off (see 02/18). 02/27 A $550 utility bill for February arrived. It is due on March 15 and will be paid then. 02/28 WWC declared and paid a $700 cash dividend. Adjusting Entries: 02/29 Record the $2,300 employee salary that is owed but will be paid March 1. 02/29 WWC decides to use the aging method to estimate uncollectible accounts. WWC determines 10% of the ending balance is the appropriate end of February estimate of uncollectible accounts. 02/29 Record February interest expense accrued on the note payable. 02/29 Record one month’s interest earned Kit Kat’s note (see 02/01). Record the Following Journal Entries:

Kilgore’s Deli is a small delicatessen located near a major university. Kilgore’s does a large walk-in carry-out lunch business. The deli offers two luncheon chili specials, Wimpy and Dial 911. At the beginning of the day, Kilgore needs to decide how much of each special to make (he always sells out of whatever he makes). The profit on one serving of Wimpy is $0.42, on one serving of Dial 911, $0.55. Each serving of Wimpy requires 0.22 pound of beef, 0.22 cup of onions, and 5 ounces of Kilgore’s special sauce. Each serving of Dial 911 requires 0.22 pound of beef, 0.37 cup of onions, 2 ounces of Kilgore’s special sauce, and 5 ounces of hot sauce. Today, Kilgore has 17 pounds of beef, 12 cups of onions, 86 ounces of Kilgore’s special sauce, and 57 ounces of hot sauce on hand.

A) Develop a linear programming model that will tell Kilgore how many servings of Wimpy and Dial 911 to make in order to maximize his profit today. If required, round your answers to two decimal places. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300) Let W = number of servings of Wimpy to make D = number of servings of Dial 911 to make

B) Find an optimal solution. If required, round your answers to two decimal places.

W = , D = , Profit = $

C) What is the shadow price for special sauce? If required, round your answers to two decimal places. $ Interpret the shadow price.

D) The input in the box below will not be graded, but may be reviewed and considered by your instructor. Increase the amount of special sauce available by 1 ounce and re-solve. If required, round your answers to two decimal places.

W = , D = , Profit = $

Thirty small communities in Connecticut (population near 10,000 each) gave an average of x = 138.5 reported cases of larceny per year. Assume that σ is known to be 44.9 cases per year.

(a) Find a 90% confidence interval for the population mean annual number of reported larceny cases in such communities. What is the margin of error? (Round your answers to one decimal place.)

(b) Find a 95% confidence interval for the population mean annual number of reported larceny cases in such communities. What is the margin of error? (Round your answers to one decimal place.)

(c) Find a 99% confidence interval for the population mean annual number of reported larceny cases in such communities. What is the margin of error? (Round your answers to one decimal place.)

(d) Compare the margins of error for parts (a) through (c). As the confidence levels increase, do the margins of error increase?

As the confidence level increases, the margin of error increases.As the confidence level increases, the margin of error remains the same.    As the confidence level increases, the margin of error decreases.

(e) Compare the lengths of the confidence intervals for parts (a) through (c). As the confidence levels increase, do the confidence intervals increase in length?

As the confidence level increases, the confidence interval remains the same length.As the confidence level increases, the confidence interval decreases in length.    As the confidence level increases, the confidence interval increases in length.