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The market structure of the local pizza industry is best characterised by monopolistic competition. Pizza Shack is one of the producers in the local market.The market demand for Pizza Shack is: Qd = 225 – 10P.Pizza Shack’s cost function is: C(Q) = 0.15Q^2Where Q^2 refers to q squared3. Derive the total revenue equation:  Blank 1. Fill in the blank, read surrounding text.

Question

The market structure of the local pizza industry is best characterised by monopolistic competition. Pizza Shack is one of the producers in the local market.The market demand for Pizza Shack is: Qd = 225 – 10P.Pizza Shack’s cost function is: C(Q) = 0.15Q^2Where Q^2 refers to q squared3. Derive the total revenue equation:  Blank 1. Fill in the blank, read surrounding text.

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Solution

The total revenue (TR) equation is derived from the price (P) times the quantity (Q). In this case, we have the demand equation Qd = 225 - 10P. We can rearrange this equation to solve for P: P = 22.5 - 0.1Q.

Now, we can substitute this into the TR equation (TR = PQ). So, the total revenue equation becomes: TR = Q(22.5 - 0.1Q).

Simplifying this equation gives us: TR = 22.5Q - 0.1Q^2.

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