Question

In a toy manufacturing company, cost of production of toy cars is given as

C= 225 - 36x + x2

, where x is number of toy cars. The demand function is

P = 120 - 4x where p is price of toy car. For what number of toy cars (i) total

cost is decreasing? (ii) Revenue is increasing?​

Answer 1

Answer:

ANSWER

Toy A Toy B Time in a day

Cutting time 5 min 8 min 180 min

Assembling time 10 min 8 min 240 min

Profit 50 60

Assumed quantity x y

Profit function z=50x+60y

5x+8y=180

A B

x 0 36

y 22.5 0

x≥0,y≥0

5x+8y≤180

10x+8y≤240 or 5x+4y≤120

5x+4y=120

C D

x 0 24

y 30 0

Corner point z=50x+60y

At O(0,0) 0

At D(24,0) 1200

At E(12,15) 1500

At A(0,22.5) 1350

Hence the maximum profit is Rs.1500 at E(12,15).