ABC Company produces three products: A, B, and C. The company only has 300 labor hours per week to produce these 3 products. Product information is as follows:

A B C

Unit selling price 140 75 240

Unit variable Costs 100 50 180

Unit contribution margin 40 25 60

Labor hours per unit 5 4 6

Maximum demand in units per week 15 20 30

What is the optimal product mix(how many A, B, and C should be produced) the company would produce for a week based on only having 300 labor hours and the demand for each product? Explain your answer and show computations.