1)The total profit​ P(x) (in thousands of​ dollars) from a sale of x thousand units of...
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1)The total profit​ P(x) (in thousands of​ dollars) from a saleof x thousand units of a new product is given by
​P(x)= ln (-x3+9x2+48x+1) (0≤x≤​10).
​a) Find the number of units that should be sold in order tomaximize the total profit.
​b) What is the maximum​ profit?
2)Suppose that the cost function for a product is given byC(x)=0.003x3+9x+9,610.
Find the production level​ (i.e., value of​ x) that will producethe minimum average cost per unit C(x).
a)The production level that produces the minimum average costper unit is
x=__
1)The total profit​ P(x) (in thousands of​ dollars) from a saleof x thousand units of a new product is given by
​P(x)= ln (-x3+9x2+48x+1) (0≤x≤​10).
​a) Find the number of units that should be sold in order tomaximize the total profit.
​b) What is the maximum​ profit?
2)Suppose that the cost function for a product is given byC(x)=0.003x3+9x+9,610.
Find the production level​ (i.e., value of​ x) that will producethe minimum average cost per unit C(x).
a)The production level that produces the minimum average costper unit is
x=__
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