A bakery prepares both cake and cookies Each batch of cookie

A bakery prepares both cake and cookies, Each batch of cookies (x) requires 3 hours in the oven and l hot in the decorating room. Each batch of cakes (y) requires 2 hours in the overt and 4 hours in the decorating room. The oven is available no more than 18 hours a day while the decorating room can be used no more than 16 hours a day. How many batches of cookies and cakes should the bakery produce in order to maximize Profits if cookies produce a profit of $15 per batch and cakes produce a profit of $27 per batch? In order to maximize profits, P. from the two items to be prepared, which statement would represent the objective function? Circle the correct answer. P = 3x+ 2y P = x + 4y P = 15x + 27y P=27x+I5y P=3x + 4y Which is the constraint for the use of the oven? Circle the correct answer, 3x + y lessthanorequalto 18 3x + 2y lessthanorqualto18 3x + 2y greaterthanorequalto 18 x + 4y lessthanoreqaualto 16 P = 15x + 27y Which is the constraint for the use of the decorating room? Circle the correct answer. x + 4y lessthanorequalto 16 x + 4y greaterthanorqualto16 2x + 4y lessthanorequalto 16 2x + 4y lessthanoreqaualto 18 P = 15x + 27y Shade the feasible region for the constraints. What are the corner points of the shaded feasible region? (,) (,) (,) (,)

Solution

Here it is given that cookies produce $15 profit per batch, so x cookies will produce $15x profit and accordingly y cakes will produce $27 y profit in total.

Thus minimize profit function will be given as : P = 15x+ 27y

Thus option c is correct answer.

This is the answer of question 9)