Q. 4 The meat department of a super market deals in three types of meat, say, A, Band C. The manager of the department finds that he has 240 pounds of A, 900 poundsof B and 450 pounds of C on a Saturday morning. From past experience, he knows thathe can sell two-thirds of these quantities as straight cuts. The remaining meat will haveto be ground into hamburger patties and picnic patties for which there is a long weekenddemand. Each pound of hamburger patties contains 20% A and 60% B. Each pound ofpicnic patties contains 50% B and 30% C. The remainder of each product consists of aninexpensíve non-meat filler which is available in unlimited quantities. How manypounds of each product should be made so that the maximum amount of meat is used?CS Scanned with CamScanner

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Answered: >Q. 4 The meat department of a super…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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3. A political toy company manufactures stuffed donkeys and elephants using cotton and polyester. At present, 40 units of cotton and 30 units of polyester are available. A donkey sells for $4 and requires 1 unit of cotton and 1 unit of polyester. An elephant sells for $5 and requires 2 units of cotton and 1 unit of polyester. Formulate an LP that will help the company maximize profit.
2. At the local zoo, Henry the Hungry Monkey requires a very specific blend of Cavendish bananas and plantains as part of his diet. Henry eats 80 pounds total of bananas and plantains per week. The bananas cost $3.12 per pound and the plantains cost $4.52 per pound. If the zoo receives a weekly bill of $312.60 for bananas and plantains, then how much of each does Henry consume per week?
1. IfXis $5,000, R-15% and BV is $50,000, what is AE? -5000-(15%*50000) -2500 2. IfXis $25,000, R-18% and BV is $125,000, what is AE? -25000-(18 % 125000) 2500 3. Assume the firm in requirement 2 can increase x to $30,000 by instituting some cost-cutting measures. What is the new AE? -30000-(18 % 125000) 7500 4. Assume the firm in requirement 2 can divest $25,000 of unproductive capital with X falling by only $2,000. What is the new AE? -25000-2000-(18% *(125000-25000)) 5000 5. Assume the firm in requirement 2 can add a new division at a cost of $40,000, which will increase X by $7,600 per year. Would adding the new division increase AE? -25000+7600-(18% *( 125000+40000)) 2900 FALSE Assume the firm in requirement 1 can add a new division at a cost of $25,000, which will increase X by $3,500 per year. Would adding the new division increase AE? 5000+3500-(15%*50000+25000) -2750 FALSE
3. Investments Nui invests $10,000, received from her grandmother, in three ways. With one part, she buys mutual funds that offer a return of 6.5% per year. She uses the second part, which amounts to twice the first, to buy government bonds at 6% per year. She puts the rest in the bank at 5% annual interest. The first year her investments bring a return of $605. How much did she invest in each way?
1. A microwave oven company has two factories in the east coast and the midwest. It takes 25 hours (including packaging, shipping, etc.) to transport the microwave ovens of each order from the factory on the east coast to the central warehouse, while it takes 20 hours from the factory in the Midwest to the central warehouse. Shipping from the East Coast factory to the central warehouse costs $80 per order, while shipping from the Midwest factory to the central warehouse costs $40. Now there are 1,000 hours available for packaging, shipping, etc., and $3,000 can be used as transportation costs. (a) Try to write a linear inequality system describing this transportation system. (b) Try to draw a graph of the linear inequality system and list the corner points.
Anal 11 BIU 三三ニ 1 6 7 3) Sally is buying one sweater for each of her two sisters. One sweater costs $35.00. A second sweater costs $30.00. Sally has a coupon good for 50% off the price of one sweater when you buy a second of equal or greater value. How much will the two sweaters cost Sally (the 50% off will apply to the $30.00 sweater)? !!! 日 +
32. A hardware company sells a lot of low-cost, highvolume products. For one such product, it is equallylikely that annual unit sales will be low or high. Ifsales are low (30,000), the company can sell theproduct for $20 per unit. If sales are high (70,000),a competitor will enter and the company will be ableto sell the product for only $15 per unit. The variablecost per unit has a 20% chance of being $10, a 60%chance of being $11, and a 20% chance of being $12.Annual fixed costs are $20,000.a. Use simulation to estimate the company’s expectedannual profit.b. Find a 95% interval for the company’s annualprofit, that is, an interval such that about 95% ofthe actual profits are inside it.c. Now suppose that annual unit sales, variable cost,and unit price are equal to their respective expectedvalues—that is, there is no uncertainty. Determinethe company’s annual profit for this scenario.d. Can you conclude from the results in parts a and cthat the expected profit from a simulation is…

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