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 $3,340$ hours per year. Product Reno has a unit contribution margin of $$125$ and requires five hours of painting department time. Product Tahoe has a unit contribution margin of $$104$ and requires four hours of painting department time. There are no other constraints.

Required:

What is the contribution margin per hour of painting department time for each product?

Contribution Margin

Reno

Tahoe

$2.$ What is the optimal mix of products? If an amount is zero, enter $"0".$

Optimal Mix

Reno

units

Tahoe

units

$3.$ What is the total contribution margin earned for the optimal mix? $($I need help with find the equation, im having trouble understanding how to get to this answer for question $3).$