Given this information-derive the profit maximizing level, Operation Management

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Given this information-derive the profit maximizing level

Profit Maximization with Monopolistically Competitive Firms:

Say a firm produces a particular good-or-service Qi.

Additionally, that firm can be described as a price-maker-given its monopolistic status.

Suppose the market demand curve for this good-or-service the firm produces can be described through the following mathematic expression:

Qi(Pi) = 156 - 8Pi.

And in addition, the firm's short-run total cost (STC) function can be mathematically described through the following function:

STC (Qi) = (1/6) Qi³ - 3Qi² + 30Qi + 60.

Given this information-derive the profit maximizing level of output (Qi) the firm should produce. Show all work.

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