Choosing the Optimal Product Mix with One Constrained Resource

Billings Company produces two products, Product Reno and Product Tahoe. Each product goes through its own assembly and finishing departments. However, both of them must go through the painting department. The painting department has capacity of 1,980 hours per year. Product Reno has a unit contribution margin of $92 and requires four hours of painting department time. Product Tahoe has a unit contribution margin of $78 and requires three hours of painting department time. There are no other constraints.

1. What is the contribution margin per hour of painting department time for each product? Contribution Margin Reno $ 23 Tahoe 26 2. What is the optimal mix of products? If an amount is zero, enter "0". Optimal Mix Reno 0 units Tahoe 990 X units 3. What is the total contribution margin earned for the optimal mix