Answer:
additional revenue = $26,250
relevant costs:
direct materials = 350 x $82 = $28,700
direct labor = 525 x $15 = $7,875
setup hours = 1 x $5 = $5
inspection costs = 20 x $5 = $100
machining = 175 x $3 = $525
total relevant costs = $37,205
1) change in income if order is accepted:
total revenue - total relevant costs = $26,250 - $37,205 = -$10,955
the company will incur a loss of $10,955 if the order is approved.
2) if the cost of direct materials is decreased by $13 per unit = $13 x 350 = $4,550, and if direct labor can be reduced by 0.5 hours per unit = 175 hours (= 175 x $15 = $2,625) ⇒ total relevant costs will be lowered by $7,175.
It results in a $3,780 (= $10,955 - $7,175) loss if the special order is accepted.