Talbot Industries manufactures two models of wireless headset: TI-12 and TI-28. Each product requires time on a single machine. The machine has a monthly capacity of 684 hours. Total market demand for the two products is limited to 2,360 units of TI-12 and 1,180 units of TI-28 monthly. Talbot is currently producing and selling 1,680 TI-12 models and 816 TI-28 models each month. Cost and machine-usage data for the two products are shown in the following spreadsheet, which analysts at Talbot use for production planning purposes: Price Less variable costs per unit Material Labor Overhead Contribution margin per unit Fixed costs Manufacturing Marketing and administrative Machine hours per unit Machine hours used Machine hours available Quantity produced Maximum demand Profit TI-12 $ 116 TI-28 $ 398 Total 41 108 47 82 8 74 $ 20 $ 134 $ 35,800 $ 32,800 $ 68,600 0.1 0.5 576 684 1,680 2,360 816 1,180 $ 74,344 Required: a. What is the optimal production schedule for Talbot Industries? In other words, how many TI-12s and TI-28s should the company produce each month to maximize monthly profit? b. If Talbot Industries produces at the level found in requirement (a), how much will monthly profit increase over the current production schedule?

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Talbot Industries manufactures two models of wireless headset: TI-12 and TI-28. Each product requires time on a single machine. The
machine has a monthly capacity of 684 hours. Total market demand for the two products is limited to 2,360 units of TI-12 and 1,180
units of TI-28 monthly. Talbot is currently producing and selling 1,680 TI-12 models and 816 TI-28 models each month. Cost and
machine-usage data for the two products are shown in the following spreadsheet, which analysts at Talbot use for production planning
purposes:
Price
Less variable costs per unit
Material
Labor
Overhead
Contribution margin per unit
Fixed costs
Manufacturing
Marketing and administrative
Machine hours per unit
Machine hours used
Machine hours available
Quantity produced
Maximum demand
Profit
TI-12
$ 116
TI-28
$ 398
Total
41
108
47
82
8
74
$ 20
$ 134
$ 35,800
$ 32,800
$ 68,600
0.1
0.5
576
684
1,680
2,360
816
1,180
$ 74,344
Required:
a. What is the optimal production schedule for Talbot Industries? In other words, how many TI-12s and TI-28s should the company
produce each month to maximize monthly profit?
b. If Talbot Industries produces at the level found in requirement (a), how much will monthly profit increase over the current production
schedule?
Transcribed Image Text:Talbot Industries manufactures two models of wireless headset: TI-12 and TI-28. Each product requires time on a single machine. The machine has a monthly capacity of 684 hours. Total market demand for the two products is limited to 2,360 units of TI-12 and 1,180 units of TI-28 monthly. Talbot is currently producing and selling 1,680 TI-12 models and 816 TI-28 models each month. Cost and machine-usage data for the two products are shown in the following spreadsheet, which analysts at Talbot use for production planning purposes: Price Less variable costs per unit Material Labor Overhead Contribution margin per unit Fixed costs Manufacturing Marketing and administrative Machine hours per unit Machine hours used Machine hours available Quantity produced Maximum demand Profit TI-12 $ 116 TI-28 $ 398 Total 41 108 47 82 8 74 $ 20 $ 134 $ 35,800 $ 32,800 $ 68,600 0.1 0.5 576 684 1,680 2,360 816 1,180 $ 74,344 Required: a. What is the optimal production schedule for Talbot Industries? In other words, how many TI-12s and TI-28s should the company produce each month to maximize monthly profit? b. If Talbot Industries produces at the level found in requirement (a), how much will monthly profit increase over the current production schedule?
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