A. 3 trays of corn muffins and 2 trays of bran muffins
Answer:
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
[tex]4x+2y\leq 16[/tex]
[tex]3x+3y\leq 15[/tex]
[tex]x\geq 0,y\geq 0[/tex]
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.
