The company AffordableStuff sells cell phones. The marginal cost for each cell phone is given by the equation C(x) = 0.01x² – 3x + 229. a is the number of cell phones manufactured and sold. The marginal revenue function is R(x) = 429 – 2.x. Both C(x) and R(x) are given in dollars. a) Where do these curves intersect? What do those intersection points mean? b) Find the area between the curves, using end points that make sense. Round to the nearest cent. c) What does the area under the curve mean in this case?
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- 2.1 A manufacturer estimates that its variable cost for manufacturing a given product is given by the following expression: C(q) = 25q² + 2000q [$] where C is the total cost and q is the quantity produced a. Derive an expression for the marginal cost of production b. Derive expressions for the revenue and the profit when the widgets are sold at marginal cost.A local newspaper currently has 84,000 subscribers at a quarterly charge of $30.Market research has suggested that if the owners raise the price to $32, they wouldlose 5,000 subscribers. Assuming that subscriptions are linearly related to theprice, what price should the newspaper charge for a quarterly subscription tomaximize their revenue?a) Find the cost function (Hint: find slope and use point-slope form to find thecost function) b) Find the revenue function c) Find the maximum revenue d) Find the profit functionA company produces very unusual CD's for which the variable cost is $ 15 per CD and the fixed costs are $ 50000. They will sell the CD's for $ 79 each. Let a be the number of CD's produced. Write the total cost C as a function of the number of CD's produced. C =$ Write the total revenue R as a function of the number of CD's produced. R=$ Write the total profit P as a function of the number of CD's produced. P=$ Find the number of CD's which must be produced to break even. The number of CD's which must be produced to break even is Question Help: Video Submit Question
- A startup software company has indicated its cost, c(x), and revenue, f(x), as given below, such that x is the number of lines of programing code (units in 1000 lines). c(x) = 80000 - 2(x-200)2 f(x) = (x-10)3 + (x+10)2 Find the marginal cost analytically, and draw its graph Find the marginal revenue analytically, and draw its graph Solve for the x point where marginal cost is equal to marginal revenue analytically. Comment why is this point significant analytically. Write the profit function and draw its graph Is the profit function concave up or concave down?. An electricity producer has a constant marginal cost of production equal to $40 per megawatt. The residual demand for its electricity is given by P (q) = a−bq, where P is the price and q is the quantity of power generated by this producer. The producer knows the slope, b, but he vertical intercept of the residual demand curve, a is unknown. Assume A and B are greater than zero. If you get stuck, you may answer any of the following questions for special case where a = 80 And b = 0.5 for partial credit. (a) What is the marginal revenue, M R(q), for this producer? b) What is the optimal q for this producer? (c) What is the electricity producer’s optimal price? (d) What is the electricity producer’s optimal bid in a uniform price Auction? e) Suppose b is equal to zero. Would the producer have an incentive to submit a bid above its marginal cost? Explain.A company produces very unusual CD's for which the variable cost is $ 11 per CD and the fixed costs are $ 30000. They will sell the CD's for $ 89 each. Let x be the number of CD's produced. a. Write the total cost C as a function of the number of CD's produced. C = $ b. Write the total revenue R as a function of the number of CD's produced. $ R = c. Write the total profit P as a function of the number of CD's produced. $ P = d. Find the number of CD's which must be produced to break even. The number of CD's which must be produced to break even is Round to the nearest number of CDs.
- The figure shows a bakery's marginal and average cost curves, and its isoprofit curves. The bakery is a price-taker in a large bread market. Suppose the current market price is P₁. Based on this information, which of the following statements is correct? Price, Cost €6 (5 20 40 60 80 Quantity MC hoprofits AC 100 120 140 160 180 number of loaves Select one or more: a. The bakery would be better off raising its price up to its AC level. O b. The bakery would be minimising its loss at A. Oc. If the bakery is not yet in the market then it would not enter the market. d. If the bakery is already in the market, then it would always immediately exit the market because it is making a loss.On the graph input tool, change the number found in the Quantity Demanded field to determine the prices that correspond to the production of 0, 6, 12, 15, 18, 24, and 30 units of output. Calculate the total revenue for each of these production levels. Then, on the following graph, use the green points (triangle symbol) to plot the results. Calculate the total revenue if the firm produces 6 versus 5 units. Then, calculate the marginal revenue of the sixth unit produced. The marginal revenue of the sixth unit produced is________. Calculate the total revenue if the firm produces 12 versus 11 units. Then, calculate the marginal revenue of the 12th unit produced. The marginal revenue of the 12th unit produced is_________.The demand and total profit function, P(x) for rooms in a hotel are given as follows. 3x = 600 - P P(x) = 450x – 3.5x2 - 4000 Where p is the price in ringgit per room and x is the quantity of room rented. Determine the marginal cost when 2 rooms are rented
- A company produces very unusual CD's for which the variable cost is $ 9 per CD and the fixed costs are $ 50,000. They will sell the CD's for $ 57 each. Let x be the number of CD's produced and sold. a. Write the total cost TC as a function of the number of CD's produced and sold. TC = $ b. Write the total revenue TR as a function of the number of CD's produced and sold. TR = $ c. Write the total net income NI as a function of the number of CD's produced and sold. NI = $ d. Find the number of CD's which must be produced and sold to breakeven. The number of CD's which must be produced and sold to breakeven is Round UP to the nearest whole number of CDs. Submit Question6. esc A company sells one of its products for $42 each. The monthly fixed costs are $2700. The marginal cost of the product is $10. Let q=quantity and C(q) = cost. a) Express the total monthly costs, C, as a function of q, the quantity produced each month. C(q) = 9= :0: 21 O Express the total monthly revenue, R, as a function of the quantity, q, sold each month. R(q) = c) Find the quantity, q, produced and sold each month at which this company will break even. Round your answer to a whole number. F1 50,252 8. F2 20 F3 ITEMS 000 000 F4 F5 INFO MacBook Pro S F6 tv F7 RA ► 11 F8 W < Previous Nex F9 Instructions ^ F10 4) F11 €Use the table to compute the marginal revenue and marginal cost