In Problems 100-107, cost, revenue, and profit are in dollars and x is the number of units.
Profit If the total revenue function for a product is given by and the total cost function is given by , what is the marginal profit at ? What does the marginal profit at predict ?
To calculate: The marginal profit when number of units is 10 units and interprets the marginal profit for 10 units where the cost function is and the revenue function is .
The total revenue for a product is represented by the function, . The total cost function is represented by the function, .
The simple power rule for the derivative,
The rule of derivative for constant multiplication,
The sum or difference rule of the derivative,
Consider the provided cost function, and revenue function, .
The profit function is the difference of revenue function and cost functions,
Substitute for and for .
To find the maximum profit, differentiate the profit function with respect to x, use the sum or difference of the derivative.
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