Question

Esibu and Dela are in a part-time business manufacturing clock case. Esibu must work 4 hours and Dela 2 hours to complete one case for a grandmother clock. To build one case for a wall clock, Esibu must work 3 hours and Dela 4 hours. Neither partners wish to work more than 20 hours per week. If they receive GHC80.00 for each grandmother clock and GHC64.00 for each wall clock, how many of each should they build each week to maximize their profit?​

Answer 1

Correct Answer:

To maximize their profit, Esibu must build 6 (2 grandmother clock and 4 wall clock) while Dela must build 8 (6 grandmother clock and 2 wall clock).

Explanation:

Since they don't want to work for more than 20 hrs in a week

In-order to maximize the profit,

For Esibu,

2 grandmother clock = 4 hours ×2 = 8 hours

4 wall clock = 3 hours × 4 = 12 hours

Total hours = 20 hours.

For Dela,

6 grandmother clock = 2 hours × 6 = 12 hours

2 wall clock = 4 hours × 2 = 8 hours

Total hours = 20 hours.