Pharaoh innovations, inc. produces exercise and fitness gear. two of its newer products require a finishing process that can only be completed on machines that were recently purchased for this purpose. the machines have a maximum capacity of 6,000 machine hours, and no other products that the company makes use these machines.

sarah jacob, the company’s operations manager, is preparing the production schedule for the coming month and can’t seem to find enough machine time to produce enough units to meet the customer demand that the marketing department has included in the sales budget.

michael stoner, the company’s controller, has gathered the following information about the two products:

dumbbell rack weight bench
selling price per unit $49 $58
direct materials 21 14
direct labor 4 8
variable overhead 2 6
fixed overhead 4 10
profit per unit $18 $20
unit sales demand 4,000 7,000
machine hours per unit 0.50 0.80

after hearing about sarah’s recommendation to increase the weight bench price to $68, scott wilson, the sales manager, suggested that the company raise the price of the dumbbell rack instead. he believes that if the price is increased to $55, demand will fall to 2,400 units. how should sarah allocate the 6,000 machine hours under scott’s proposal? total contribution margin?