Solution: The Golden Hawk Manufacturing Company wants to maximize the profits on products A, B and C. The contribution margin for each product follows


Question: The Golden Hawk Manufacturing Company wants to maximize the profits on products A, B and C. The contribution margin for each product follows

Product Contribution Margin
A $2
B $5
C $4

The production requirements and departmental capacities, by departments, are as follows

Department Production
Requirements
by Product (hours)
Departmental
Capacity
(total hours)
A B C
Assembling 2 3 2 30,000
Panting 1 2 2 38,000
Finishing 2 3 1 28,000
  1. What is the profit-maximization for this company?
  1. 5A + 8B + 5C = x (where x = profit)

(ii) $2A +$5B + $4C ≤ 96,000

(iii) $2A +$5B + $4C = x

(iv) $2A +$5B + $4C = 96,000

  1. What is the constraint for the finishing department?

(i) 1A + 2B + 2C ≥ 38,000

(ii) $2A +$3B + $1C ≥ 28,000

(iii) 1A + 2B + 2C ≤ 38,000

(iv) 2A + 3B +1C ≤ 28,000

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