Question

Problem 2: Samsung Electronics manufactures smartphone microprocessors whose cost function is given by C=6X+9, where X is the number of microprocessor chips. The selling price per unit is P=30-3X and maximum output of the plant is 30,000 units per month. a. Determine the optimal demand for the microprocessor chips. b. What is the maximum profit per month? c. At what volume(s) of production does breakeven exist? d. What is the company's range of profitable demand?

Answer 1

P=30-3+ C=6x79 P-30-34 3X=30 p 18-10-0.333P) - Demand Profit is max when MR-MC MC=0C6 TR= 30%-342 MR=30=6X Propet is max when Mr=me 30-6X=6. 6x=24 x=y) 4 P=30-314)=18 OF TR=5 For Break even P=AC 30x -3x2=6x79 382_24x +9=0 x= gut 1576-4(3) (4) 24 ta1.63 7.60 X=7.6) Profsable demand when 30-34= Pere 6+ 9 9 +3+ < -24