BAKERY. For the problem faced by Mary Custard’s in problem 26: a. Each pie is baked and sold in an aluminum pie tin. Suppose at the start of the day Mary Custard’s had 200 pie tins available. Would...

BAKERY. For the problem faced by Mary Custard’s in problem 26:

a. Each pie is baked and sold in an aluminum pie tin. Suppose at the start of the day Mary Custard’s had 200 pie tins available. Would the production schedule change from that determined in part (a) of problem 29?

b. Answer part (a) assuming that there were only 100 pie tins.

c. Mary Custard’s has, in the past, made a third type of pie—a chocolate pie. Given the current prices of ingredients, Mary Custard’s estimates that it would net a profit of $27 per dozen chocolate pies. Each dozen chocolate pies requires 15 pounds of flour, 30 eggs, 12 pounds of sugar and no fruit mixture. Show that it would not be profitable to bake any chocolate pies this day even if Mary Custard’s had an abundant supply of chocolate. What is the minimum profit for a dozen chocolate pies which would justify their production?