Question 16
Wiley Sports Authority produces two types of balls: Soccer and Cork. The attached output lays out all of the details of the
production process. Based on the optimal solution for this problem, what is the minimum cost? Consider the solutions: (100,
50), (0, 125), (166.66, 0), (150, 0)
Wiley Sports Authority
Parameters
Soccer
Cork
Production time (hour)
3
4
Production cost ($)
9
7
Model
Minimum total production
2
150
Available Hour
7
500
Soccer
Cork
Production quantity
1
1
Cost
$\text{15.00}$
$1,350
$875
$1,250
$1,499.94
None of the above
Let $S$ = number of Soccer balls manufactured
$C$ = number of Cork balls manufactured
Min $9S + 7C$
s.t.
$S + C \ge 150$
$3S + 4C \le 500$
$S, C \ge 0$