Question
Smith Corporation wants to find an equation to estimate some of their monthly operating costs for the operating budget for 2021. The following cost and
Smith Corporation wants to find an equation to estimate some of their monthly operating costs for the operating budget for 2021. The following cost and other data were gathered for 2020:
Month | Maintenance Costs | Machine Hours | Health Insurance | Number of Employees | Shipping Costs | Units Shipped |
---|---|---|---|---|---|---|
January | $4,510 | 170 | $8,570 | 63 | $28,240 | 7,060 |
February | $4,473 | 110 | $8,570 | 73 | $32,920 | 8,230 |
March | $4,660 | 239 | $8,570 | 89 | $31,600 | 7,900 |
April | $4,870 | 304 | $8,570 | 102 | $25,760 | 6,440 |
May | $5,120 | 459 | $8,570 | 84 | $23,760 | 5,940 |
June | $4,745 | 285 | $8,570 | 85 | $36,960 | 9,240 |
July | $4,927 | 338 | $8,570 | 88 | $34,800 | 8,700 |
August | $4,916 | 363 | $8,570 | 80 | $33,720 | 8,430 |
September | $5,055 | 429 | $8,570 | 90 | $26,960 | 6,740 |
October | $5,226 | 476 | $8,570 | 101 | $28,440 | 7,110 |
November | $5,370 | 500 | $8,570 | 91 | $22,000 | 5,500 |
December | $4,795 | 281 | $8,570 | 101 | $38,400 | 9,600 |
1. Which of the preceding costs is variable? Fixed? Mixed? Explain.
2. Using the high-low method, determine the cost function for each cost.
3. Combine the preceding information to get a monthly operating cost function for the Smith Corporation.
4. Next month, Smith expects to use 350 machine hours, have 90 employees, and ship 8,600 units. Estimate the total operating cost for the month.
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