The revenue from selling x number of items is modeled by the polynomial 425x2 – 0.14x³
The cost of producing x number of items is
0.205x2 + 20x + 4000.
Which polynomial models the profit from producing and selling x number of items?
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Which polynomial models the profit from producing and selling x number of items?
The total-cost, C(x), and total revenue, R(x), functions for producing x items are shown below, where 0 SXS 800 C(x) = 5900 + 100x and R(x) = - + 600X a) Find the total-profit function P(x). b) Find the number of items, x, for which the total profit is a maximum a) P(x) = b) The profit is maximized for a production of units
5.r- The table below shows the profit, P(x)P(x), in dollars, from selling xx items. xx 1 2 3 6 9 14 P(x)P(x) 81.4 93 94.8 41.4 -100.2 -532.2 Using your calculator to do a quadratic regression, express the profit as a function of the number of items sold. Round all numbers to 1 decimal place. Using your quadratic regression, estimate the profit from selling 11 items? Select an answer items dollars Round to 2 decimal places. Using your quadratic regression, estimate...
Suppose the cost of producing x items is given by C(x)=1000-x^3, and the revenue made on the sale of x-items is R(x)=100x-10x^2. Find the number of items which serves as a break-even point.
The profit from the production and sale of specialty golf hats is given by the function P(x) 20x - 2000 where x is the number of hats produced and sold. (a) Producing and selling how many units will give a profit of $6000? (b) How many units must be produced and sold to avoid a loss? (a) Producing and sellingunits will give a profit of $6000 (b) To avoid a loss, units must be produced and sold.
Profit function correct for Model A? Profit function correct for Model B? Mini Project 1 A company is planning to produce and sale a new product, and after conducting extensive market surveys, the research department provides two potential business models. Model A The total cost and the total revenue in dollars for a weekly production and sale of x items are given, respectively, by: 24x+ 20,000 and R(x) = 200x-0.2x2 where 0 s xs 500. C(x) Model B The total...
29. The marginal profit, in dollars, is P'(x) = 80 - 8. The profit from selling 150 items is $5, 330. Compute the profit if 312 items are sold. (A) $8,736.00 (B) $16,848.00 (C) $11,308.00 (D) $12,053.00 (E) $20,497.00 29.
The table shows the marginal cost C'(x), the marginal revenue R'(x) for producing x items. The third column, P'(x), is partially completed. All values are in dollars per item. (a) Complete the remaining entries in the third column. (b) What does the table tell you about the revenue function? (c) Find the production level that maximizes profit. P'(x) -21 O 43 NOT 64 10 43 43 40 16 43 70 43 43 90208143 43 - 165
The table below shows the profit, P(x), in dollars, from sellingx items. 2 3 6 9 14 P(x) 88.9 108 117.3 86.4 -32.7 -427.2 Using your calculator to do a quadratic regression, express the profit as a function of the number of items sold. P(x) = Round all numbers to 1 decimal place. Preview Using your quadratic regression, estimate the profit from selling 8 items? Round to 2 decimal places. Select an answer Using your quadratic regression, estimate the number...
The table below shows the profit, P(z), in dollars, from selling r items. P(z) 1 89.8 2 107.8 3 116 6 81.8 40.6 14 440.6 Using your calculator to do a quadratic regression, express the profit function of the number of items sold as a Preview Round all numbers to 1 decimal place Using your quadratic regression, estimate the profit from selling 11 items? Round to 2 decimal places Select an answer Using your quadratic regression, estimate the number of...
SHOW ALL YOUR WORK AND WRITE DOWN VERY NEATLY 2. The revenue R, in thousands of dollars, from producing and selling σ hundred LCD TVs is given by R(a)--5z? + 35a2 + 155z for 0 < π < 10.07 a. Use a graphing utility to graph y - R(r) and determine the number of TVs which should be sold to maximize revenue. What is the maximum revenue? Why does this amount produce maximum revenue? b. Assume that the cost, in...