You invest in a new play. The cost includes an overhead of $17,500, plus production costs of $2500 per performance. A sold-out performance brings in $3125. (In solving this exercise, let x represent the number of sold-out performances.)

Question

You invest in a new play. The cost includes an overhead of ​$17,500​, plus production costs of​ $2500 per performance. A​ sold-out performance brings in​ $3125. (In solving this​ exercise, let x represent the number of​ sold-out performances.)

GPT 3.5 · Answer

Let x represent the number of sold-out performances.

The production costs for x performances would be 2500 * x.

The revenue earned from x sold-out performances would be 3125 * x.

The total cost of the play would be the sum of the overhead and production costs, which is 17500 + 2500 * x.

The profit from the play would be the revenue minus the total cost, which is 3125 * x - (17500 + 2500 * x).

Simplifying the expression gives you:
Profit = 3125x - 17500 - 2500x

Combining like terms gives you:
Profit = 625x - 17500

You invest in a new play. The cost includes an overhead of ​$17,500​, plus production costs of​ $2500 per performance. A​ sold-out performance brings in​ $3125. (In solving this​ exercise, let x represent the number of​ sold-out performances.)

You invest in a new play. The cost includes an overhead of $17,500, plus production costs of $2500 per performance. A sold-out performance brings in $3125. (In solving this exercise, let x represent the number of sold-out performances.)