不 A small tie shop finds that at a sales level of x ties per day its marginal profit is MP(x) dollars per tie, where MP(x) = 1.25+0.08x-0.0024x2. Also, the shop will lose $90 per day at a sales level of x=0. Find the profit from operating the shop at a sales level of x ties per day. -
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- Given cost and price (demand) functions C(g)= 110q + 44,600 and p(g) = - 2g + 860, what is the marginal revenue at a production level of 55 items? The marginal revenue is $ . (Round answer to nearest dollar.) Pr rithIf the demand function for math self-help videos is given by 45 -0.4x, and the total cost function to manufacture the videos is given by 4x + 17, evaluate the marginal profit function at x = 10. Marginal Profit = This means that if production and sales increase by one unit, then total profit will O increase decrease by approximately dollars.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?
- A particular computing company finds that its weekly profit, in dollars, from the production and sale of x laptop computers is P(x) = -0.006x³ -0.3x² +600x-800. Currently the company builds and sells 7 laptops weekly a) What is the current weekly profit? b) How much profit would be lost if production and sales dropped to 6 laptops weekly? c) What is the marginal profit when x = 7? d) Use the answer from part (a) and (c) to estimate the profit resulting from the production and sale of 8 laptops weekly a) The current weekly profit is $ (Round to the nearest cent as needed) b) The decrease in profit is $ (Round to the nearest cent as needed.) c) The marginal profit when x=7 is $ (Round to the nearest cent as needed) CLOT d) The profit resulting from the production and sale of 8 laptops weekly is approximately $ (Round to the nearest cent as needed)You sell items. Your marginal revenue and marginal cost are given by the formulas: MR (q)= 9.344-0.8q and MC (q)= 0.1q2-1.2q+5.9 where q is measured in hundreds of items and marginal revenue and marginal cost are in dollars per item. Compute the change in total cost that occurs if quantity increases from 225 to 226 items.Should a firm shut down if its weekly revenue is $1,000, its variable cost is $500, and its fixed cost is$800, of which $600 is avoidable if it shuts down? Explain.
- Kristin runs a rare book store. Last year, she earned $35,000 in revenue and had explicit costs of $8,000. Kristin could have made $29,750 working for a security company and received an additional $5,000 if she had used the company's inputs in a different way. Calculate Kristin's economic profit. $what is the ordered pair ?Match each graph with the function it best represents-a demand function, a revenue function, a cost function, or a profit function. Explain your reasoning. y 35,000 30,000 25,000 b. 20,000 15,000- 10,000 5,000 d. 1,000 2,000 3,000 4,000 5,000 6,000 7,000 8,000 9,000 Graph a is the cost VX function. The number of units sold decreases as the price increases Graph b is the revenue function. This function increases linearly V with the number of units produced. Graph c is the demand x and graph d is the revenue A cost X function is less than a cost X function. Need Help? Read It Submit Answer LARAPCALC10 3.4.009.MI.SA. MY NOTES ASK YOUR TEACHER PRA
- 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 rentedThe following graph plots the marginal cost (MC) curve, average total cost (ATC) curve, and average variable cost (AVC) curve for a firm operating in the competitive market for sun lamps.Your firm "We Work Eot U" rents access to shared open office spaces for a price of S540 per year. The market is perfectly competitive as consumers have many of these "We Work" rental companies to choose from. Your firm's total revenue function is written: TR = (540) Q. The total cost function is written: TC = 80,000+ 40Q + 0.5Q? a. To maximize profits, what is the optimal number of office spaces to rent? Show your work. b. How much (in dollars) are total profits at the profit-maximizing output level? Show your work. c. In the long run, assuming no barriers to entry and exit into this industry, what will happen to profits and to the market price?