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?
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?
Chapter10: Short-term Decision Making
Section: Chapter Questions
Problem 12EB: Power Corp. makes 2 products: blades for table saws and blades for handsaws. Each product passes...
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