11:41←✓ ANSWEREDMonday, Dec 14, 2020MATH ADVANCED-MATHA firm decides to invest x units of capital in projectA and y units in project B. The expected return for1 unit of investment is $400 in project A and $800 inproject B. However, in order to meet theexpectations of the firm's ethical andenvironmental policy, the values of x and y mustsatisfy the constraintx2 + y2 - 4x - 6y = 67Howmany units of each type should the firm buy inorder to maximize total return?$400 in pexpectations of the fsatidy the comExpert AnswerWant to seethe f..IIQ√xDo

A firm decides to invests x units of capital in project A and y units in project B. The expected…

Answered: A firm decides to invest x units of…

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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United Airlines is looking to purchase new planes. Their budget is 1.4 billion dollars ($1,400 million) and they have 24 pilots available. Airbus offers a plane for $100 million that can seat 130 passengers and requires 2 pilots to fly. Boeing offers a plane for $200 million that can seat 205 passengers and requires 3 pilots to fly. If United wants to fly the maximum amount of passengers at one time given their budget and pilot constraints, how many of each plane should United purchase? Use linear optimization.What is the objective function?
Part1)An airplane carries water and medical kits to survivors of a natural disaster. The plane can carry a maximum payload of 80,000 pounds. Each container of water weighs 20 pounds, and each medical kit weighs 10 pounds.The cargo space holds a maximum of 6000 cubic feet of cargo. Graph these constraints on the grid provided, and write some units on the axes. Assume each container has a volume of 1 cubic foot. Part2)If each container of water serves 10 people and each medical kit aids 6 people, find the number of water containers and medical kits that could help the most people
Answer the question below.
Bata Aerobics manufactures two models of steppers used for aerobic exercises, x number of luxury models and y number of standard models. Manufacturing each luxury model requires 10 lb of plastic and 10 min of labor. Manufacturing each standard model requires 16 lb of plastic and 8 min of labor. The profit for each luxury model is $50, and the profit for each standard model is $35. If 6000 lb of plastic and 60 labor-hours are available for the production of the steppers per day, how many steppers of each model should Bata produce each day in order to maximize its profit? (x, y) = What is the optimal profit?$
Infotron Inc makes electronic hockey and soccer games. Each hockey game requires 2 labor-hours of assembly and 2 labor-hours of testing. Each soccer game requires 3 labor-hours of assembly and 1 labor-hour of testing. Each day there are 48 labor-hours available for assembly and 36 labor-hours available for testing. How many of each game should Infotron produce each day to maximize its total daily output?
Janelle Heinke, the owner of Ha'Peppas!, is considering a new oven in which to bake the firm's signature dish, vegetarian pizza. Oven type A can handle 24 pizzas an hour. The fixed costs associated with oven A are $20,000 and the variable costs are $2.50 per pizza. Oven B is larger and can handle 40 pizzas an hour. The fixed costs associated with oven B are $32,500 and the variable costs are $1.50 per pizza. The pizzas sell for $12.00 each. a) The break-even point in units for oven type A = units (round your response to the nearest whole number).
A farmer has a 50-acre farm on which to plant pepper and tomatoes. The farmer has available 300 hours of labor per week and 800 tons of fertilizer, and he has contracted for shipping space for a maximum of 26 acres’ worth of pepper and 37 acres’ worth of tomatoes. An acre of pepper requires 10 hours of labor and 8 tons of fertilizer, whereas an acre of tomatoes requires 3 hours of labor and 20 tons of fertilizer. The profit from an acre of pepper is GH¢400, and the profit from an acre of tomatoes is GH¢300. The farmer wants to know the number of acres of pepper and tomatoes to plant to maximize profit. a). Formulate a linear programming model for this problem. b) i. Transform the model into a standard form ii. Identify the amount of unused resources (i.e., slack) at each of the graphical extreme points. iii. Using the computer, determine the shadow prices for the resources and explain their meaning (show the sensitivity report).
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 48 hours a week. He routinely completes at least 2 shocks replacements and 6 brake replacements a week. If he charges $400 for labor replacing shocks and $200 in labor for replacing brakes, how many jobs of each type should he complete a week to maximize his income? Kevin should do shock replacements and brake replacements every week to maximize his weekly income.
please dont give hand written solution
A petroleum refiner se

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