Select each statement that is true.

A. If the demand forxitems at a price pis given by q(p)=0.01p²-10p+100 then the marginal revenue is given by R'(x)= 0.01p²-10p+100

B. If the average cost to producexitems is cbar(x)=c(x)/x then the marginal average cost is cbar'(x)=C'(x)

C. If the cost to producexitems is given byC(x)and the revenue from sellingxitems is given by R(x), then the marginal profit is given byP'(x)=R'(x)-C'(x)

D. If the demand for x items at a price p is given by q(p)=0.01p²-10p+100 then the marginal revenue is given by R'(x)=0.02p-10

E.If the demand for x items at a price p is given by q(p)=0.01p²-10p+100 then the marginal revenue is given by R'(x)=0.03p²-20p+100

F. If the cost to producexitems is given byC(x)and the revenue from sellingxitems is given by R(x), then the marginal profit is given byP'(x)=d/dx(R(x)-C(x)).

G.If the cost to produce xitems is given by C(x), then the average cost is given by cbar(x)=C(x)/x

H. If the demand for x items at a price p is given by q(p)=0.01p²-10p+100 then the marginal revenue is given by R'(x)=p(0.02p-10)