a) find the indefinete integral intergral (-5/(4x+4)) b) If the marginal cost fo

ID: 2843542 • Letter: A

Question

a) find the indefinete integral intergral (-5/(4x+4))

b) If the marginal cost for a commodity is MC = 8x - 6 and the total cost of producing

6 units is $800, which is the total cost function?

c) A grocery store estimates that the weekly profit (in dollars) from the production and

sale of x cases of soup is given by

P(x) = -5500 + 9.1x - 0.0015x^2

and currently 1300 cases are produced and sold per week. Use the marginal profit to

estimate the increase in profit if the store produces and sells one additional case of soup

per week.

. weekly profit of 1300 cases = -5500 + 9.1*1300 - 0.0015*1300^2 = 3795

weekly profit of 1301 cases = -5500 + 9.5*1301 - 0.0015*1301^2 = 4320.59. So marginal profit is $552.29

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