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The Hard Rock Mining Company is developing cost formulas for management planning and decision-making purposes. The company's cost analyst has concluded that utilities cost
The Hard Rock Mining Company is developing cost formulas for management planning and decision-making purposes. The company's cost analyst has concluded that utilities cost is a mixed cost, and he is attempting to find a base that correlates with the cost. The controller has suggested that tons mined might be a good base to use in developing a cost formula. The production superintendent disagrees; she thinks that direct labor-hours would be a better base. The cost analyst has decided to try both bases and has assembled the following information: Quarter Year 11 Direct Tons Mined Labor-Hours Utilities Cost First 22,000 5,700 $ 57,000 Second 15,000 3,700 $ 52,000 Third 27,000 4,700 $ 67,000 Fourth 19,000 6,700 $ 82,000 Year 2: First 25,000 11,400 Second 32,000 11,100 Third Fourth 37,000 9,400 35,000 12,400 $107,000 $112,000 $ 92,000 $127,000 Required: 1. Using the least-squares regression method, estimate the variable utilities cost per ton mined and the total fixed utilities cost per quarter. Express these estimates in the form Y=a+bX. (Round the Variable cost per unit to 2 decimal places and Fixed Cost to the nearest whole dollar amount.)
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