please provide correct answer for problem 1

Problem1 .High-Low Analysis and Predicting Cost Prospero Corporation's total overhead costs at various levels of activity are presented below: Month August September Total Machine - Overhead Hours Costs 8,000 $119,400 October November 4,000 12,000 $142,800 16,000 $166.200 $93,120 Assume that the total overhead costs above consist of utilities, supervisory salaries, and maintenance. The breakdown of these costs at the 4,000 machine-hour level of activity is: Utilities (variable) $11.520 Supervisory salaries (fixed) 15,600 Maintenance (mixed) 66.000 Total overhead costs $93.120 Prospero Corporation's management wants to break down the maintenance cost into its basic variable and fixed cost elements. Required: (1). Estimate how much of the $166,200 of overhead cost in October was maintenance cost. (Hint: to do this, it may be helpful to first determine how much of the $166,200 consisted of utilities and supervisory salaries. Think about the behavior of variable and fixed costs!) (2). Using the high-low method, estimate a cost formula for maintenance. (3). Express the company's total overhead costs in the linear equation form Y = a +bX. (4). What total overhead costs would you expect to be incurred at an operating activity level of 15,000 machine-hours