Question

9. Suppose that the a candy factory makes two types of candy: Kisses and Creams. The profit, in dollars, for the factory in a week is given by the function P(x, y) 100x64y - 0.01x2 - 0.25y2 where x is the number pounds of Kisses sold per week, and y is the number pounds of Creams sold per week. (a) What is the Factory's profit if they sell 20 pounds of Kisses and 10 pounds of Creams in a week? (b) What is the Factory's profit if they sell 100 pounds of Kisses and 16 pounds of Creams in a week? (c) What is the Factory's profit if they sell 10000 pounds of Kisses and 256 pounds of Creams in a week?

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Answer 1

Given, Prott functian fon the tactony in a weeK is PCX,y) -100x +64y-o.oo.25y is Kisses is no of pourcs Sold pea Weck ard y O CYCams SOld pe Week They sell 30pounds of Kisses and lo pounds of CYCam a) Given so, x 20y= 10 Prott 100x20+64 X10 -O.01 (20)- 0-25(10) E 2000 +640- -25 Weck a61 ts the poht in a (00 pounds ol Kisses and 16 pounas olc1cam sell b) Given, They S0, prott oox100 64x6 - O 0 (10) o.25(16)2 OC0O1024 - 100 - 64 is the prokt in a wk o0o pounds of Kisses ond 256 pounos f ccams 9Given THey ell 00x Icoo64x256 -0-01 (1000)-o.25(256) 6384 0oo 00000 16384 - :10000 is the prott in a Scanned with CamScanner CS