Question to test your Tangent Lines and Derivatives knowledge

Question

An electronic company produces 20,000 tablets per year in batches of x items at a time. The total cost (in $) of the production of 20,000 tablets in batches of x item at a time is given by the function below:

Determine and interpret the meaning of the average and marginal costs when x = 10,000.

Accepted Answer

Average cost = $$126.9Marginal Cost = −1.2$$When the batch size is 10,000, the average cost of producing 20,000 tablets is $$126.9 per tablet. When the batch size is increased by one, the total cost of producing 20,000 tablets will decrease by 1.2.$$

Answer

Average cost = $$126.9Marginal Cost = 1.2$$When the batch size is 10,000, the average cost of producing 10,000 tablets is $$126.9 per tablet. When the batch size is increased by one, the total cost of producing 10,000 tablets will increase by 1.2.$$

Answer

Average cost = $$253.8Marginal Cost = 1.2$$When the batch size is 10,000, the average cost of producing 20,000 tablets is $$253.8 per tablet. When the batch size is increased by one, the total cost of producing 20,000 tablets will increase by 1.2.$$

Answer

Average cost = $$253.8Marginal Cost = −1.2$$When the batch size is 10,000, the average cost of producing 10,000 tablets is $$253.8 per tablet. When the batch size is increased by one, the total cost of producing 10,000 tablets will decrease by 1.2.$$

Tangent Lines and Derivatives: Videos & Practice Problems

An electronic company produces 20,000 tablets per year in batches of x items at a time. The total cost (in $) of the production of 20,000 tablets in batches of x item at a time is given by the function below:Determine and interpret the meaning of the average and marginal costs when x = 10,000.

An electronic company produces 20,000 tablets per year in batches of x items at a time. The total cost (in $) of the production of 20,000 tablets in batches of x item at a time is given by the function below:

Determine and interpret the meaning of the average and marginal costs when x = 10,000.