Unter Components manufactures low-cost navigation systems for installation in ride-sharing cars. It sells these systems to various car services that can customize them for their locale and business model. It manufactures two systems, the Star100 and the Star150, which differ in terms of capabilities. The following information is available.

Costs per UnitStar100Star150Direct materials$72$82Direct labor4050Variable overhead2025Fixed overhead97127Total cost per unit$229$284Price$300$400Units sold4,0002,000

The average wage rate is $25 per hour. Variable overhead varies with the quantity of direct labor-hours. The plant has a capacity of 20,000 direct labor-hours, but current production uses only 10,400 direct labor-hours.

Required:

a.A nationwide car-sharing service has offered to buy 2,600 Star100 systems and 2,600 Star150 systems if the price is lowered to $210 and $260, respectively, per unit.

a-1.If Unter accepts the offer, how many direct labor-hours will be required to produce the additional systems?

a-2.Complete the following table to determine the differential profit increase (or decrease) if Unter accepts this proposal.Prices on regular sales will remain the same.

b-1.Suppose that the car-sharing has offered instead to buy 3,600 each of the two models at $210 and $260, respectively. This customer will purchase the 3,600 units of each model only in an all-or-nothing deal. That is, Unter must provide all 3,600 units of each model or none. Unter's management has decided to fill the entire special order for both models. In view of its capacity constraints, Unter will reduce sales to regular customers as needed to fill the special order. Complete the table below to determine the total contribution margin with the special order added.

b-2. How much will the profits change if the order is accepted? Assume that the company cannot increase its production capacity to meet the extra demand.

c-1.Assume that, in the situation presented in requirement b-1, the plant can work overtime. Direct labor costs for the overtime production increased to $37.50 per hour. Variable overhead costs for overtime production are $6 per hour more than for normal production. Complete the table below to determine the total contribution margin.

c-2.How much will the profits change in this situation?