Baking a tray of corn muffins takes 4 cups of milk and 3 cups of wheat flour. baking a tray of bran muffins takes 2 cups of milk and 3 cups of wheat flour. a baker has 16 cups of milk and 15 cups of wheat flour. he makes $3.00 profit per tray of corn muffins and $2.00 profit per tray of bran muffins. determine how many trays of each type of muffin the baker should make to maximize his profit. a. 3 trays of corn muffins and 2 trays of bran muffins b. 5 trays of corn muffins and 3 trays of bran muffins c. 4 trays of corn muffins and 2 trays of bran muffins d. 2 trays of corn muffins and 5 trays of bran muffins

Option A.

Step-by-step explanation:

Let x be the number of trays of corn muffins and y be the number of trays of bran muffins.

He makes $3.00 profit per tray of corn muffins and $2.00 profit per tray of bran muffins.

Objective function: Z=3x+2y

According to the the given information:

                      Corn muffins     Bran muffins                Total    

Milk                         4                        2                            16

Wheat flour            3                         3                            15

Subject to the constraints are

Draw the graph of above qualities as shown below.

The vertices of feasible region are (0,0), (0,5), (3,2) and (4,0).

Point         Z=3x+2y

(0,0)                0

(0,5)                10

(3,2)                13

(4,0)                12

The profit is maximum at x=3 and y=2.

3 trays of corn muffins and 2 trays of bran muffins.

Therefore, the correct option is A.

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