Adivision of ditton industries manufactures a deluxe toaster oven. management has determined that the daily marginal cost function associated with producing these toaster ovens is given by c'(x) = 0.0006x2 − 0.12x + 22 where c'(x) is measured in dollars per unit and x denotes the number of units produced. management has also determined that the daily fixed cost incurred in the production is $900. (a) find the total cost incurred by ditton in producing the first 300 units of these toaster ovens per day.

$7,500

Step-by-step explanation:

Integrating the daily marginal cost per unit function (C'(x)) at the interval from 0 to 300 units gives us the total variable cost incurred by Ditton in producing he first 300 units.

The variable cost incurred is  $6,600

The total cost is given by sum of the variable cost and the fixed cost:

The total cost incurred by Ditton in producing the first 300 units of these toaster ovens per day is $7,500.

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