Computer Products produces two keyboards, Regular and Special. Regular keyboards have a unit contribution margin of $128, and Special keyboards have a unit contribution margin of $720. The demand for Regulars exceeds Computer Product's production capacity, which is limited by available machine-hours and direct manufacturing labor-hours. The maximum demand for Special keyboards is 80 per month. Management desires a product mix that will maximize the contribution toward fixed costs and profits.
Direct manufacturing labor is limited to 1,600 hours a month and machine-hours are limited to 1,200 a month. The Regular keyboards require 20 hours of labor and 8 machine-hours. Special keyboards require 34 labor-hours and 20 machine-hours.
Let R represent Regular keyboards and S represent Special keyboards. The correct set of equations for the keyboard production process is ________.
A) Maximize:$128R + $720S
Constraints:
Labor-hours:20R + 34S 1,600
Machine-hours:8R + 20S 1,200
Special:S 80
S 0
Regular:R 0
B) Maximize:$128R + $720S
Constraints:
Labor-hours:20R + 34S 1,600
Machine-hours:8R + 20S 1,200
Special:S 80
S 0
Regular:R 0
C) Maximize:$720S + $128R
Constraints:
Labor-hours:20R + 8S 1,600
Machine-hours:34R + 20S 1,200
Special:S 80
S 0
Regular:R 0
D) Maximize:$128R + $720S
Constraints:
Labor-hours:20R + 34S 1,600
Machine-hours:8R + 20S 1,200
Special:S 80
S 0
Regular:R 0
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