CA gardener is trying to maximize profitby growing tomatoes (T) and carrots(C)with fertilizer(F). The productionfunctions are: Tomatoes: T = 70Ft -1.5Ft^2Carrots: C = 90Fc - 2Fc^2Constraint: Ft + Fc = 60The profit is $0.50 per tomato and$0.25 per carrot. There are 60 units offertilizer available. How much fertilizershould go to the tomatoes?

Answered: Image /qna-images/answer/3561cce6-5efc-405b-a90b-cfc9d47b412a.jpg

Answered: A gardener is trying to maximize profit…

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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A company makes two grades of paint, grade I, guaranteed for 5 years, and grade II, guaranteed for 10 years. A gallon of grade I costs $3.10 to make, while a gallon of grade Il costs $3.60 to make. The weekly fixed costs are $3950. Step 1 of 2: Find the cost function C(x, y) for making x gallons of grade I and y gallons of grade II.
y = demand for the large bottle of Fresh in the sales period(Demand)x1 = the price of product 1x2 = the price of product 2x3 = the advertising expenditure for Freshx4 = the price difference in the sales periodAdver = types of advertising campaignsCampaign A consists entirely of television commercials, campaign B consists of a balancedmixture of television and radio commercials, and campaign C consists of a balanced mixture oftelevision, radio, newspaper, an dmagazine ads. To ultimately increase the demand for Fresh,Enterprise Industries’ marketing department is comparing the effectiveness of three differentadvertising campaigns. To compare the effectiveness of advertising campaigns A, B, and C, wedefine two dummy variables. Specifically, DB is 1 if campaign B is used and 0 otherwise, DC is1 if campaign C is used and 0 otherwise. Our proposed model is y = β0 + β1x4 + β2x3 + β3x 2 3 + β4x4x3 + β5DB + β6DC
You are designing a cylindrical barrel that can hold 16π m3 of crude oil. Find the radius r and heighth of the barrel that uses the least amount of material possible.(Hint: The surface area of a cylinder is S = 2πr2 + h(2πr), and its volume is V = πr2h.)(a) Draw a diagram representing this situation.(b) Write the objective and constraint functions.Objective:Constraint:(c) Use the constraint function to write the objective as a function of one variable.(d) Determine the radius and height for the absolute minimum surface area
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