Final answer:
The total fixed costs amount to $66,200, and variable costs are $26 per machine hour. The overhead cost equation is $66,200 + ($26 x MHs), which allows us to calculate costs at various levels of production.
Step-by-step explanation:
To construct a flexible budget for Johnny Lee Incorporated, we need to consider both variable and fixed costs. First, we tally the fixed costs that do not change with the level of production: engineering support ($15,100), insurance ($5,100), property taxes ($12,100), depreciation ($13,900), supervisory salaries ($14,900), setup labor ($2,500), and materials handling ($2,600). This gives us a monthly fixed cost total of $66,200.
The variable factory overhead costs are given at $26.00 per machine hour (MH), which includes electricity ($9.00), indirect materials A ($2.00), indirect materials B ($5.00), maintenance labor ($7.00), and production-related supplies ($3.00).
Using this information, we can create a flexible budget for the three different levels of machine hours:
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- (a) For 4,100 MHs: Fixed costs ($66,200) + Variable costs (4,100 MHs x $26/MH) = $172,800
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- (b) For 5,100 MHs: Fixed costs ($66,200) + Variable costs (5,100 MHs x $26/MH) = $198,800
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- (c) For 6,100 MHs: Fixed costs ($66,200) + Variable costs (6,100 MHs x $26/MH) = $224,800
To represent the factory overhead costs with an equation, we can use:
Total Overhead Cost = Fixed Costs + (Variable Cost per MH x Number of MHs)
So, the equation is Total Overhead Cost = $66,200 + ($26 x MHs). Using this equation, we can estimate the monthly total overhead cost for machine hours ranging from 3,100 to 6,100, in increments of 500 MHs.