A factory manufactures three products, A, B, and C. Each product requires the use of two machines, Machine Iand Machine II. The total hours available, respectively, on Machine I and Machine Il per month are 7,090 and10,940. The time requirements and profit per unit for each product are listed below.A BCMachine I 5 810Machine II 10 9 16Profit$10 $13 $18How many units of each product should be manufactured to maximize profit, and what is the maximum profit?Start by setting up the linear programming problem, with A, B, and C representing the number of units of eachproduct that are produced.Maximize P =subject to:≤7,090≤ 10,940Enter the solution below. If needed round numbers of items to 1 decimal place and profit to 2 decimal places.The maximum profit is $units of product Aunits of product Bunits of product Cwhen the company produces:

Let the number of units of product A be x , number of units of product b be y and number of units of…

Answered: How many units of each product should…

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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Investor Matt has $597,000 to invest in a CD and a mutual fund. The CD yields 7.9% and the mutual fund yields an average of 7.4%. The mutual fund requires a minimum investment of $19,000, and Matt requires that at least 4 times as much money be invested in the CD as in the mutual fund. You must invest in order to maximize his return. What is the maximum return? Enter 0 if no investment can be made satisfying the requirements.
herseys makes chocolate. the old way 6gm sugar and 3 gm chocolate per liter. the new process uses 2gm sugar and 4gm chocolate per liter. herseys makes a profit of 25cents per liter the old way and 16cents per liter the new way. no more than 18000gm of sugar and 12000gm of choclate can be used daily. how many liters should be made daily under each process to maximize profits? what is the maximum profit? using contraints by simplex.
Mr. Ripoff's gas station can sell 355 gallons of gas per day at $4.00 per gallon and 164 gallons at $5.00 per gallon. Mr. Ripoff pays $1.20 per gallon for the gas and has daily fixed costs of $500. Find the unit price p that will maximize revenue: Find the unit price p that will maximize profit: What is the maximum possible daily profit? dollars per gallon. dollars dollars.
Ginny knits two different capes. The ‘Ginny’ model requires 3 hours of knitting and 7 hours to embellish the cape. The ‘Helen’ model requires 5 hours to knit and 5 hours to embellish the cape. Ginny has at most 60 hours a month to knit the capes and at most100 hours a month to embellish the capes. How many capes should she make to maximize her profit if she makes a profit of $80 on each ‘Ginny’ cape and a profit of $100 on each ‘Helen’.
Kevin is an auto mechanic. He spends 2 hours when he replaces the shocks on a car and 2 hours when he replaces the brakes. He works no more than 54 hours a week. He routinely completes at least 2 shocks replacements and 6 brake replacements a week. If he charges $500 for labor replacing shocks and $300 in labor for replacing brakes, how many jobs of each type should he complete a week to maximize his income? Kevin should do enter your response here shock replacements and enter your response here brake replacements every week to maximize his weekly income.
A manufacturer of skis produces two models: a regular ski and a slalom ski. A set of regular skis produces a $25 profit and a set of slalom skis produces a profit of $50. The manufacturer expects a customer demand of at least 200 pairs of regular skis and at least 80 pairs of slalom skis. The maximum number of pairs of skis that can be produced by this
macys needs to hire staff at minimum cost. the average monthly salary of a manager is $2400 and the average monthly salary of a clerk is $1100. The company can accommodate up to 45 workers and needs at least 30 to run properly. They must have at least 10 clerks and may have up to 3 clerks for every 2 managers. How many managers and clerks should macys hire to minimize cost. what is the minimum cost? using simplex
Carlo and Anita make mailboxes and toys in their craft shop near Lincoln. Each mailbox requires 4 hours of work from Carlo and 4 hours from Anita. Each toy requires 2 hours of work from Carlo and 4 hours from Anita. Carlo cannot work more than 16 hours per week and Anita cannot work more than 20 hours per week. If each mailbox sells for $9 and each toy sells for $13, then how many of each should they make to maximize their revenue? What is their maximum revenue? ---- Carlo and Anita should make mailboxes and toys. Their maximum revenue is $

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