Answer:
total contribution margin = $68,500
Explanation:
31,000 hours of labor available
Product M Product N
Required labor time per unit (hours) 2 3
Maximum demand (units) 6,500 8,000
Contribution margin per unit $5 $5.70
Contribution margin per labor hour $2.50 $1.90
since the constraint here is the total number of labor hours, the company must first produce the product that generates the highest contribution margin per labor hour = product M.
total units produced of product M = 6,500
total labor hours required = 6,500 x 2 = 13,000
contribution margin product M = 13,000 x $2.50 = $32,500
remaining labor hours = 31,000 - 13,000 = 18,000
total units of product N produced = 18,000 / 6 = 6,000
contribution margin product N= 18,000 x $2 = $36,000
total contribution margin = $68,500
