Ex A manufactures x television sets per but is planning to increar 0.1x, o manuf

Question

Ex A manufactures x television sets per but is planning to increar 0.1x, o manufacturing is increased to company duction. Find the total The profit if production (a) 1600 sets change in the monthly (b) 2000 sets Ex 9. A defense contractor is starting production on a new missile control the of data collected while assembling the first 16 control. systems, the production manager obtaine the following function for rate of labor use: g(x) 2400 x number labor-hours to assemble unit control syste a 16 Approximately where g x) is the of the 17th through the 25 control unites? (hint: how many l be required to assemble and b 25) Ex 10. Find area bounded osx s 3. Identify how much is the Loss or Profit. by R(x) x x and COx) 2x for Ex 11. Find bounded area R(x)-4-x and cox 5. Find how much is the profit or loss. answer: 36 in profit) Ex 12. Find the bounded area R(x) 5 x x and C(x) x-3 please discuss the matters -profit or loss (answer: 19.6 in loss)

Explanation / Answer

8) If monthly marginal profit P' = 165-0.1x the P' integral will give monthly Profit = 165x - 0.05x^2 Now at x= 1500 the profit will be 135000.

a) At x=1600 The profit will be 165*1600-0.05*1600*1600 = 136000. So total change in profit = 136000-135000 = 1000

b) At x=2000 The profit will be 165*2000-0.05*2000*2000 = 130000. So total change in profit = 130000-135000 = -5000

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