A clothing company determines that its marginal cost, in dollars per dress, is given by the...
A company determines that its marginal revenue per day is given by R'(t), where R(t) is the total accumulated revenue, in dollars, on the tth day. The company's marginal cost per day is given by C' (t), where C(t) is the total accumulated cost, in dollars, on the th day. R' (t) = 140 e'. R(O)=0; C' (t) = 140 -0.75, C(O) = 0 a) Find the total profit P(T) from t=0 to t= 10 (the first 10 days). P(T)...
6x² + c 60x A company has found that the marginal cost (in thousands of dollars) to produce x central air conditioning units is C'(x) = where x is the number of units produced (a) Find the cost function, given that the company incurs a fixed cost of $15,000 even if no units are built. (b) The company will seek a new source of investment income if the cost is more than $19,000 to produce 5 units. Should they seek...
The weekly marginal cost of producing x pairs of tennis shoes is given by the following function, where C(x) is cost in dollars. 200 x + 1 c'(x)=17+ If the fixed costs are $3,000 per week, find the cost function. What is the average cost per pair of shoes if 1,000 pairs of shoes are produced each week? The cost function is C(x)=0 If 1,000 pairs of shoes are produced each week, the average cost per pair of shoes is...
Shylls, Inc. determines that its marginal revenue per day is given by R'|t|=100et and that R(0)=0, where R(t) is the total accumulated revenue, in dollars, on day t. The company's marginal cost, per day, is given by C'|t|=100-0.2t with C(0)=0, where C(t) is the total accumulated cost, in dollars, on day t. What is the average daily profit for the first 10 days (t=0 to t=10)?
Please include any formulas/rules used to get answer The marginal cost function, in dollars per item, for producing the xth item of a certain Example 1 brand of skateboard is given by MC(x) = 84-0.9x + 0.008x2,0sx< 200. Use a definite integral to find the total variable cost of producing 100 skateboards. C)X Ungsinob snimoisd (
A marginal revenue function MR(x) (in dollars) is given below. Use numerical integration on a graphing calculator or computer to find the total revenue over the given range. 195 MR(x) = 7+2 1 +2 -0.8x – 25, 0 sxs 270 -0.8% . The total revenue over the given range is approximately $ (Round to the nearest cent as needed.)
3. H&M has found that its marginal cost, in dollars, for the rth jacket produced is given by C' (r) 0.0003r2 - 0.2x 50 (6 points) Approximate the total cost of producing 400 jackets by computing the sum a. 4 C'(r)Ax, with Ax = 100. (Use a calcula 40 tor to determine the final value.) 30F c'(7 20 10- 100 200 300 400 Number of jackets the interval 0,400]. b. (3 points) Find the exact area under the curve on...
C '(x) = 0.0003x2 − 0.18x + 21where C '(x) is measured in dollars/unit and x denotes the number of units produced. Management has also determined that the daily fixed cost incurred in the production is $800. (a) Find the total cost incurred by Ditton in producing the first 300 units of these toaster ovens per day.(b) What is the total cost incurred by Ditton in producing the 201st through 300th units/day?
The marginal revenue (in thousands of dollars) from the sale of x gadgets is given by the following function. win R'(x) = 4x(x2 + 28,000) a. Find the total revenue function if the revenue from 120 gadgets is $19,222. b. How many gadgets must be sold for a revenue of at least $35,000? a. The total revenue function is R(x) = given that the revenue from 120 gadgets is $19,222. (Round to the nearest integer as needed.) b. How many...