Question

The marginal cost function associated with producing x widgets is given by CEx) -0.6x + 70 where this measured in dollars/unit and x denotes the number of widgets. Find the total cost Cx) incurred from producing the 11th through oth units of the day 51660 $1600 $1640 $1610 $1650

Answer 1

To find the total cost incurred from producing the 11th through 20th units, substitute the values into the cost function and sum them up. The total cost incurred is $1610.

Step-by-step explanation:

To find the total cost incurred from producing the 11th through 20th units, we need to calculate the cost for each unit and then sum them up.

The marginal cost function given is C(x) = -0.6x + 70, where x is the number of widgets produced.

To find the cost for each unit, we can substitute x = 11, 12, 13, ..., 20 into the cost function:

C(11) = -0.6(11) + 70 = $63.40

C(12) = -0.6(12) + 70 = $62.80

...

C(20) = -0.6(20) + 70 = $58

Finally, we can sum up the costs for each unit:

Total cost = C(11) + C(12) + C(13) + ... + C(20) = $63.40 + $62.80 + ... + $58 = $1610

Answer 2

To find the total cost for producing widgets from the 11th to the 50th unit, integrate the marginal cost function C'(x) = -0.6x + 70 over the interval [11, 50]. The question seems to contain incorrect values as those provided do not factor into the integration process.

Step-by-step explanation:

The student's question involves calculating the total cost of producing widgets. The marginal cost function provided is C'(x) = -0.6x + 70, which indicates the cost of producing one additional unit. To determine the total cost of producing widgets from the 11th to the 50th unit, one would integrate the marginal cost function over the interval from 11 to 50. However, the actual values provided in the question seem to be missing or incorrect, as we should calculate the integral of the marginal cost function over this range to obtain the answer. Additionally, understanding the concept of widget workers receiving $10 per hour and multiplying the Workers row by $10 to obtain different levels of output is essential in assessing labor costs, but for the question asked, we solely focus on the marginal cost function and its integration.

Remember that the marginal cost reflects the additional cost of producing one more unit of a good. To find the total cost for a certain number of units, we calculate the area under the marginal cost curve over the interval in question, which in simpler terms means integrating the marginal cost function.