Valencia Products is a decentralized organization that evaluates divisional management based on measures of divisional contribution margin. Consumer Audio (CA) Division and Auto Electronics (AE) Division both sell audio equipment. CA focuses on home and personal audio equipment;

AE focuses on components for automobile stereo systems. CA produces an audio player that it can sell to the outside market for $60 per unit. The outside market can absorb up to 70,000 units per year. These units require 3 direct labor-hours each.

If CA modifies the units with an additional hour of labor time, it can sell them to AE for $67.50 per unit. AE will accept up to 60,000 of these units per year.

If AE does not obtain 60,000 units from CA, it purchases them for $70 each from the outside. AE incurs $30 of additional labor and other out-of-pocket costs to convert the player into one that fits in the dashboard and integrates with the automobile’s audio system. The units can be sold to the outside market for $170 each.

CA estimates that its total costs are $825,000 for fixed costs, $12 per direct labor-hour, and $6 per audio player for materials and other variable costs besides direct labor. Its capacity is limited to 300,000 direct labor-hours per year.

Required

Determine the following:

a. Total contribution margin to CA if it sells 70,000 units outside.

b. Total contribution margin to CA if it sells 60,000 units to AE.

c. The costs to be considered in determining the optimal company policy for sales by CA.

d. The annual contributions and costs for CA and AE under the optimal policy.