What is the most profitable level of output per week for the new product

ABC plc is about to launch a new product. Facilities will allow the company to produce up to 20 units per week. The marketing department has estimated that at a price of £8,000 no units will be sold, but for each £150 reduction in price one additional unit per week will be sold.

 

Fixed costs associated with manufacture are expected to be £12,000 per week. Variable costs are expected to be £4,000 per unit for each of the first 10 units; thereafter each unit will cost £400 more than the preceding one. The most profitable level of output per week for the new product is

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(A) 10 units

(B) 11 units

(C) 13 units

(D) 14 units

(E) 20 units

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