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The Hard Rock Mining Company is developing cost formulas for management planning and decision-making purposes. The companys cost analyst has concluded that utilities cost is

The Hard Rock Mining Company is developing cost formulas for management planning and decision-making purposes. The companys 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 Tons Mined Direct Labor-Hours Utilities Cost
Year 1:
First 34,000 6,900 $ 69,000
Second 21,000 4,900 $ 64,000
Third 39,000 5,900 $ 79,000
Fourth 31,000 7,900 $ 94,000
Year 2:
First 37,000 13,800 $ 119,000
Second 44,000 14,700 $ 124,000
Third 49,000 11,800 $ 104,000
Fourth 47,000 14,800 $ 139,000

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1-b. 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.) 2-b. Using the least-squares regression method, estimate the variable utilities cost per direct labor-hour and the total fixed utilities cost per quarter. Express these estimates in the form Y=a+bX. (Round the Variable cost to 2 decimal places and Fixed Cost to the nearest whole dollar amount.)

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