12. Quality Air Conditioning manufactures three home air conditioners: an economy model, astandard model, and a deluxe model. The profits per unit are $63, $95, and $135, respec-tively. The production requirements per unit are as follows:Number ofFansManufacturingTime (hours)Number ofCooling CoilsEconomyStandardDeluxe18121121414For the coming production period, the company has 200 fan motors, 320 cooling coils,and 2400 hours of manufacturing time available. How many economy models (E), stan-dard models (S), and deluxe models (D) should the company produce in order to maximizeprofit? The linear programming model for the problem is as follows:Max 63E + 95S + 135Ds.t.1E + 1S +1D< 200Fan motors1E + 2S +Cooling coilsManufacturing time4D < 3208E + 12S + 14D < 2400E, S, D 0 FIGURE 3.17 THE SOLUTION FOR THE QUALITY AIR CONDITIONING PROBLEMOptimal Objective Value =16440.00000VariableValueReduced CostE80.000000.00000120.000000.000000.00000-24.00000ConstraintSlack/SurplusDual Value10.0000031.000000.0000032.000003320.000000.00000ObjectiveAllowableAllowableVariableCoefficientIncreaseDecreaseE63.0000012.0000015.5000095.0000031.000008.00000135.0000024.00000InfiniteRHSAllowableAllowableConstraintValueIncreaseDecrease1200.0000080.0000040.00000320.0000080.00000120.0000032400.00000Infinite320.00000The computer solution is shown in Figure 3.17.a. What is the optimal solution, and what is the value of the objective function?b. Which constraints are binding?c. Which constraint shows extra capacity? How much?d. If the profit for the deluxe model were increased to $150 per unit, would the optimalsolution change? Use the information in Figure 3.17 to answer this question.

Answered: Image /qna-images/answer/97979551-239d-4aaf-bc6f-6af78be55650.jpg

Answered: The computer solution is shown in…

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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3. A shop owner blends a fancy brand of tea with a cheaper brand. The fancy brand sells for $5 per pound, and the cheaper brand sells for $2 per pound. How much of each should the owner mix to have 30 pounds worth $3.69 per pound? (Be sure to define your variables and show all your work for full credit.)
Write the correct mathematical models for the objective functions and constraints
An investor has at most $20,000 to invest in government bonds, mutual funds, and money market funds. The average yields for the government bonds, mutual funds, and money market funds are 7%, 15%, and 12% respectively. The investor's policy requires that the total amount invested in mutual and money market funds not exceed the amount invested in government bonds. How much should be invested in each type of investment in order to maximize the return? What is the maximum return in the first year? th How much should be invested in government bonds? Incorr Question Viewer
1. A store has a $9000 monthly advertising budget. Newspaper ads cost $500 each with a limit of 40 per month, radio ads cost $50 each with a limit of 60 per month, and TV ads cost $3000 each with a limit of 20 per month. About 5000 people see each newspaper ad, 3500 hear each radio ad, and 12,000 see each TV ad. How much of each type should be used to maximize the store's exposure? Interpret the results.
8.The Pinewood company produces cakes & pastriess. The company has 25 pounds of flour and 16 pounds of sugar. Demand of cakes is limited to 5 per day. Each cakes requires 5 pounds of flour and 2 pounds of sugar. Pastries needs 5 pounds of flour and 4 pounds of sugar. The profit for cake is $1/pcs and for pastries is $5/pcs. The company wants to determine the number of products to maximize profit. A.Formulate the Linear Programming Model B.Solve the problem using mathematical way C.Solve the problem using graphical solution
An investor has $60,000 to invest in a CD and a mutual fund. The CD yields 9% and the mutual fund yields 6%. The mutual fund requires a minimum investment of $8,000, and the investor requires that at least twice as much should be invested in CDs as in the mutual fund. How much should be invested in CDs and how much in the mutual fund to maximize the return? What is the maximum return? C... To maximize income, the investor should place $ in CDs and $ in the mutual fund. (Round to the nearest dollar as needed.) The maximum return is $. (Round to the nearest dollar as needed.)
3. Solve the following applications of the inequalities:An industrial firm manufactures a product with a unit selling price of $20 (dollars) and a variable cost of $15.If fixed costs are $600,000, determine the minimum number of units that must be sold for the company to earn a profit.
1. Maximization Model. Answer in complete solution.
How large should n be to guarantee that the Trapezoidal Rule approximation to x - 12x- 48x² + 2x + 5) dæ is accurate to within 0.1. n = How large should n be to guarantee that the Simpsons Rule approximation to 2 1(-a - 12a - 48z? + 2x + 5) dx is accurate to within 0.1. n = Hint: Remember your answers should be a whole numbers, and Simpson's Rule requires even values for n Question Help: Video 1 D Video 2 Submit Question P Type here to search hp
5. A small business enterprise makes dresses and trousers. To make a dress, it requires ½ hour of cutting and 20 minutes of stitching. To make a trouser, it requires 15 minutes of cutting and hour of stitching. The profit on a dress is N$40 and on a pair of trousers N$50. The business operates for a maximum of 8 hours per day Determine how many dresses and trousers should be made to maximize profit and what the maximum profit is. O A The maximum profit is N$800, 10 dresses and 8 trousers OB The maximum profit is N$850, 12 dresses and 6 trousers OC The maximum profit is N$860, 12 dresses and 6 trousers OD The maximum profit is N$880, 12 dresses and 8 trousers

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