(a) The cost for each calculator is $28(1-.075)(1-.03)=$25.12

(b) The total cost for the shipment is $25.12(400)=$10,048 (Using the rounded figure. Unrounded we get $10,049.20)

(c) The original selling price had a markup of 35%, based on selling price. If S is the selling price then

` (S-25.12)/S=.35 ` so `S=25.12/.65=38.65 ` so the selling price was $38.65

(d) Given an average markup of 25% based on sales, we have (TS is total sales) ` (TS-10048)/(TS)=.25`

Then `TS=10048/.75=13397.bar(33) ` so the total sales were $13,397.33

(e) The total sales are found by TS=200(38.65)+180(RP)+20(15.90) where RP is the reduced price. We have the sum of the calculators sold at regular retail, the calculators sold at the reduced price, and the last 20 calculators sold at the clearance price.

So 13,397.33=7730+180(RP)+318 ==>

The reduced price was $29.72