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Slavin Corporation manufactures two products, Alpha and Delta. Each product requires time on a single machine. The machine has a monthly capacity of 500 hours.

Slavin Corporation manufactures two products, Alpha and Delta. Each product requires time on a single machine. The machine has a monthly capacity of 500 hours. Total market demand for the two products is limited to 160 units (each) monthly. Slavin is currently producing 110 Alphas and 110 Deltas each month. Cost and machine-usage data for the two products are shown in the following table, which Slavin managers use for planning purposes.

Alpha Delta Total
Price $ 120 $ 150
Less variable costs per unit
Material 19.5 34.5
Labor 25.5 37.5
Overhead 16 15
Contribution margin per unit $ 59 $ 63
Fixed costs
Manufacturing $ 7,900
Marketing and administrative $ 4,900
$ 12,800
Machine hours per unit 2.0 2.5
Machine hours used 495
Machine hours available 500
Quantity produced 110 110
Maximum demand 160 160
Profit $ 620

Required:

a. What is the optimal production schedule for Slavin? In other words, how many Alphas and Deltas should the company produce each month to maximize monthly profit?

b. If Slavin produces at the level found in requirement (a), how much will monthly profit increase over the current production schedule?

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