# SOLUTION: A company makes two kinds of cookies. Each batch of chocolate cookies requires 6 trucks to ship, takes 9 hrs to bake, and earns the company \$600. Each batch of cream filled require

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 Click here to see ALL problems on Rate-of-work-word-problems Question 89848: A company makes two kinds of cookies. Each batch of chocolate cookies requires 6 trucks to ship, takes 9 hrs to bake, and earns the company \$600. Each batch of cream filled requires 4 trucks to ship, 12 hours to bake, and earns the company\$500. graph the region and determine how many of each should be made to maximize profit. it has a total of 48 trucks and 72 hours of baking time. as far as ive gotten: 6x+4y<48 9x+12<72 Answer by stanbon(57203)   (Show Source): You can put this solution on YOUR website!A company makes two kinds of cookies. Each batch of chocolate cookies requires 6 trucks to ship, takes 9 hrs to bake, and earns the company \$600. Each batch of cream filled requires 4 trucks to ship, 12 hours to bake, and earns the company\$500. There are a total of 48 trucks and 72 hours of baking time. graph the region and determine how many of each should be made to maximize profit. -------------- Let number of chocolate batches be "x"; Let number of cream batches be "y". # of choc batches: 0<=x<=48 # of cream batches:0<=y<=48 Truck : 6x+4y <=48 Bake : 9x+12y<=72 Objective function: Profit = 600x+500y -------------------- Solve Truck and Bake for y: Truck: y <= (-3/2)x+12; graph it Bake: y<=(-3/4)x+6 ; graph it Draw vertical lines at x=0 and x=48 Draw horizontal lines at y=0 and y=48 ------------- Find the vertices of the resulting closed figure. Use the coordinates of those vertices to find the maximum possible profit. ============== ---------------------- Cheers, Stan H.