The manager at Soul Walk Inc., a shoe manufacturing company, wants to set a new price (P) for a 3) shoe model to maximize total profit. The demand (D) as a function of price is represented as: D = 1,500 - 2.5P The total cost (C) as a function of demand is represented as: C = 3,200 + 3.5D Which of the following is a model for total profit as a function of price? A) (1,250 × price) + (5 × price2) - 8,320 B) [4521 + (4.5 × price)] × price - 9684.25 C) (1,508.75 × price) - (2.5 × price2) - 8,450 D) (3.5 × price2) + 3,200 - (1925.50 × price)

Bandar industries berhad of malaysia manufactures sporting equipment. one of the company’s products, a football helmet for the north american market, requires a special plastic. during the quarter ending june 30, the company manufactured 35,000 helmets, using 22,500 kilograms of plastic. the plastic cost the company $171,000. according to the standard cost card, each helmet should require 0.6 kilograms of plastic, at a cost of $8 per kilogram. 1. what is the standard quantity of kilograms of plastic (sq) that is allowed to make 35,000 helmets? 2. what is the standard materials cost allowed (sq x sp) to make 35,000 helmets? 3. what is the materials spending variance? 4. what is the materials price variance and the materials quantity variance?