1. Due to the quarantine, the demand for NineTendo On/Off console suddenly peaked and is expected tohave the following demands for the next four quarters: 5million, 7million, 4million, and 5million units,respectively. The unit price starts at 20,000 and increase by 1,000 each quarter thereafter. The companyNine Tendo can supply no more than 7million units in any one quarter. Although, we can take advantageof lower prices in early quarters, a storage cost of 2,800 is incurred per unit per quarter. In addition, thenumber of units that can be held over from one quarter to the next must be 1.4million or less. Developan LP to determine the schedule for purchasing the item to meet the demand while minimizing the cost.

Decision variables:xq : number of units purchased in quarter q.yq : number of units held over from…

Answered: 1. Due to the quarantine, the demand…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Mallory Manufacturing produces thermal tents and sleeping bags. The company’s products are in high demand due to the quality and durability of the products. Mallory estimates it could sell 600 tents per month and 600 sleeping bags per month. Following is information for each of these products: Tent Sleeping Bag Selling price per item $68 $43 Variable cost per item 49.5 29 Contribution margin per item $18.5 $14 Machine hours per item 1.1 0.8 Mallory has 800 machine hours available each month. If Mallory allocates its production capacity between the tents and sleeping bags so that it maximizes the company’s contribution margin, what will the contribution margin be? (a) $14000 (b) $13765 (c) $31273 (c) $19500
Jenck's Homemade Ice Cream, LLC is planning its production for next week. As there is a current shortage of fresh milk and one of the mixing machines is broken, demand for chocolate chocolate-chip ice cream and chocolate peanut-butter ice cream continues to outpace the company's production capacities. The mixing machines will be available for only for only 158.6 hours, and only 17500 gallons of high grade milk will be available. One hundred gallons of chocolate chocolate-chip requires 0.6 hour of mixing and 75 gallons of milk. One hundred gallons of chocolate peanut-butter ice cream requires 0.8 hour of mixing and 80 gallons of milk. If company earns a profit of $115.00 per hundred gallons of chocolate chocolate-chip and $130.00 per hundred gallons of chocolate peanut-butter, how many gallons of each ice cream should company produce next week to maximize profit? How much profit will result? (Use x for hundred gallons of chocolate chocolate-chip and y for hundred gallons of chocolate…
Suppose that the R&B Beverage Company has a soft drink product that shows a constant annual demand rate of 3,600 cases. A case of the soft drink costs R&B $2. Ordering costs are $22 per order and holding costs are 26% of the value of the inventory. R&B has 250 working days per year, and the lead time is 5 days. Identify the following aspects of the inventory policy: Economic order quantity. If required, round your answer to two decimal places. Q* = fill in the blank 1 Reorder point. If required, round your answer to the nearest whole number. r = fill in the blank 2 Cycle time. If required, round your answer to two decimal places. T = fill in the blank 3 days Total annual cost. If required, round your answer to two decimal places. TC = $ fill in the blank 4
A federal agency wants to investigate the value workers place on being able to work in quiet factories over noisy factories. It conducts a study and finds the average annual wage in quiet factories to be $55,550 and the average annual wage in noisy factories to be $49,250. (a) How much does the average worker value working in a quiet factory? (b) Suppose the agency could mandate that all factories reduce their noise levels must therefore accept a $6,000 pay decrease. Are these workers helped by the intervention, hurt by the intervention, or indifferent to the intervention?
A regional municipality is studying a water supply plan for its tri-city and surrounding area to the end of year 2070. To satisfy the water demand, one suggestion is to construct a pipeline from a major lake some distance away. Construction would start at the beginning of 2030 and take five years at a cost of $30 million per year. The cost of maintenance and repairs starts after completion of construction and for the first year is $3 million, increasing by 2 percent per year thereafter. At an interest rate of 7 percent, what is the present worth of this project? Assume all cash flows take place at year-end. Consider the present to be the end of 2025/beginning of 2026. Assume there is no salvage value at the end of year 2070. Click the icon to view the table of compound interest factors for discrete compounding periods when i = 7%. The present worth of this project is $ (Round to two decimal places as needed.) million.
On February 23, 2011 Matthew Wald blogged in The New York Times that, “a car buyer who lays out an extra $6,200 to buy the hybrid version of the Lexus RX will get the money back in gas savings within five years, according to Consumer Reports magazine, but only if gasoline averages $8.77 a gallon. Otherwise, the nonhybrid RX 350 is a better buy than the Hybrid 450h, the magazine says.”Wald notices that the study assumes:▪ The car will be driven 12,000 miles a year.▪ Gas will cost $2.80 a gallon.▪ The hybrid gets 26 miles per gallon while the nonhybrid gets 21.(a) Show that the computation is wrong—that at $8.77 per gallon of gas you can’t save $6,200 in 60,000 miles of driving.(b) Show that you can save that much with that much driving if gas costs $8.77 per gallon more than $2.80 per gallon.
If a company has excess capacity, it is contemplating whether a special order should be accepted. The order will not impact regular sales. If the company accepts the special order, what will occur? O Both fixed and variable costs will increase. Net income will increase if the special sales price per unit exceeds the unit variable costs. There are no incremental revenues. Incremental costs will not be affected.
you have total portfolio $500,000 that is to be invested in certificates of deposit that pay simple annual interest of 2.5%, municipal bonds that pay simple annual interest of 10%, blue chip stocks that you expect to return 12% annually, cryptocurrency that you expected to return 18% annually. You want a combined annual return of 10% annually and you want one quarter of them invested in stocks and crypto. How much should be put in each type of investment
A surfboard manufacturer lost $500,000 last year during a recession. Total revenue was $5,000,000 and total variable costs were 40% of sales. The production facility ran at 50% capacity. The production manager wants to know the following: a. What is the percent capacity required to break even? b. When the economy recovers this year, if the plant runs at 100% capacity what net income could the company realize? c. There is a possibility that sales could be so strong this year that the plant may be required to run at 120% capacity by offering a lot of overtime to its production workers. This would result in total variable costs rising by 35%. On a strictly financial basis, should the production manager plan to exceed capacity or should he advise top management to freeze production at 100% capacity? Justify your answer. Answer Solution- 9a. 58.3% 9b. $2,500,000 9c. $3,100,000
Sven's Sweets sells gourmet cookies. His wholesale orders for special occasions must be placed in 10-box cases. The "Shamrock Special" box costs Sven $10 wholesale and sells for $12 retail. Any boxes not yet sold by March 17 (St. Patrick's Day) are discounted by 50% (to $6) to sell quickly and clear inventory space. Sales history data shows uniform demand between 40 and 90 boxes per year at full price (before St. Patrick's Day). (a) What is the primary random variable of this problem? How is it distributed? (This is an elementary state variable for the model.)
You are the VP, Advertising for “Yo’ Mama” brand, a fashion label that caters to the young, trendy crowd with an urban, hip-hop image. While your customer base has traditionally been largely African-American, you have recognized a tremendous influx of Hispanic consumers into your market. You are preparing for next week’s annual budget meetings and you have decided to recommend an Hispanic-focused advertising campaign if the average monthly per store sales to Hispanic customers are at least the same as the average monthly per store sales to African-American customers in a sample of typical stores (sales data given below). Using an alpha of .05 and the 5-step hypothesis testing process, what will you recommend? Hint: Think about how many data points you actually have.
A remotely located air sampling station can be powered by solar cells or by running an electric line to the site and using conventional power. Solar cells will cost $15000 to install and will have a useful life of 4 years with no salvage value. Annual costs for inspection, cleaning, etc. are expected to be $1500. A new power line will cost $13000 to install, with power costs expected to be $1200 per year. Since the air sampling project will end in 4 years, the salvage value of the line is considered to be zero. At an interest rate of 14.00% per year, which alternative should be selected on the basis of a future worth analysis? (Include a minus sign if necessary.) The future worth of solar cells is $ _____ and that of electric line is $_____ . ?Solar cells? or ?Electric line? should be selected on the basis of a future worth analysis.

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