Question

Suppose that the monthly cost, in dollars, of producing x chairs is C(x)0.006+0.07%? 14x + 600, and currently 40 chairs are produced monthly a)What is the current monthly cost? b)What is the marginal cost when x 407 c) Use the result from part (b) to estimate the monthly cost of increasing production to 42 chairs per month d)What would be the actual additional monthly cost of increasing production to 42 chairs monthly a) The current monthly cost is $ (Round to the nearest cent as needed.)

Answer 1

Answere given that Clu) = 0.0062 +0.07242+142 + 600 when 2 = 40 is (a) current monthly cost C(40) = 0.006(40)+ 0.07(40)+14(40) +600 cCuo) 1656 The current monthly cost is $1656 (6) we have to find marginal cost when x=80 & (2) (0.006) 3222 +00:07)22 + 14 da c'(21) 0.01802 +0.140 +14 x=40 when C'(10) = 0.018(40) 2 + 0.14(40) +14 C'080) 48.4 The marginal cost when a = 40 is 1$48.4 (C) The Montbily cost of increasing production to 42 chairs per month is C'(42) – c'(40) + find c'(42) NOW we

c'(42) = 0.018(42)2 +0.1442) +14 c'(42). c'(42) - c'(UD) - 51.632-48.4. 51. 632 NOW 3.232 The Moothly. Cost of increasing producation to chairs is $ 3.232 42 d) Additional cost for increasing poddection to 42 Chairs Montly is c(42) - c(40) wow we find C(42) = D.DO(42)3+ 0.07(42)#14(42) c(42) 1756.008 +600 Now C(42) - C(40) = 1756.003 – 1656 100.008 . Additional cost for increasing production to 42 chairs chairs monthly is $100.008 Plz do like, hope you get the answer Thank you +