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The price-demand equation and the cost function for the production of 4K Tv’s are given respectively....

The price-demand equation and the cost function for the production of 4K Tv’s are given respectively. x = 9000 − 30p and c(x) = 150000 + 30x Where x is the number of 4k TV’s that can be sold at a price p and c(x) is the total cost in dollars in producing x Tv’s.

a) Express the price p as a function of demand x, and find the domain of this function.

b) Find the marginal cost function

c) Find the revenue function

d) Find the marginal revenue function e) Find the marginal profit function

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