Stone Age Surfboards is a small manufacturer of two types of

Stone Age Surfboards is a small manufacturer of two types of popular low-tide surfboards, the Graystone and the Lava models. The manufacturing process consists of two departments: fabrication and finishing. The fabrication department has 8 skilled workers, each of whom works 9.25 hours per day. The finishing department has 5 workers, each of whom works a 6-hour shift per day. Each pair of Graystone surfboards requires 2.5 labor hours in the fabrication department and 2 labor hours in finishing. The Lava model requires 4.2 labor-hours in fabrication and 3.6 labor-hours in finishing. It makes a per unit profit of $40 on the Graystone model and $60 on the Lava model. The Solver Sensitivity Report for the optimal daily production is given below.

Solution

Let the number of Graystone models be x

Let the number of Lava models be y

Constraints

2.5x + 4.2y <= 8 * 9.25 (Fabrication)

2x + 3.6y <= 5 * 6 (finishing)

2.5x + 4.2y <= 74

2x + 3.6y <= 30

Profit Function: z = 40x + 60y

The maximum occurs when x=15 and y =0

Hence the Profit = 40 * 15 = $600