Solid Rock Industries determines that the marginal cost, C(x), in dollars per unit, from producing the xth pair of climbing boot is given by

MCx=x3-10x+15

Where 0x20.

Find MC(5). Interpret MC(5) in economic terms.

Sketch a graph of the marginal cost function. Carefully label the function and the y intercept. Meaningfully label the x and y axes.

On the above graph, shade the area that represents the cost from the production of the first 4 pairs of climbing boots.

Give and solve (using the Fundamental Theorem of Calculus) the definite integral that represents the cost from the production of the first 4 pairs of climbing boots.

Given the cost from producing 2 pairs of climbing boots is $300, find the general cost equation for this problem.

What is the cost of producing 7 pairs of climbing boots?