Write the Constraint Inequalities and the Profit Formula for This

Essay

Write the constraint inequalities and the profit formula for this linear programming mixture problem: Amazin' Raisin Baking Co. makes both raisin cake and raisin pie. A batch of raisin cakes requires 5 lbs of flour, 2 lbs of sugar, and 1 lb of raisins. A batch of raisin pies requires 2 lbs of flour, 3 lbs of sugar, and 4 lbs of raisins. There are 165 lbs of flour, 110 lbs of sugar, and 120 lbs of raisins available each week. Standing orders require at least five batches of raisin cakes and eight batches of raisin pies per week. If profit on a batch of raisin cakes is $35 and profit on a batch of raisin pies is $40, how many batches of each should be made per week to maximize profit?