If cx) =x + 4x +57 is the total cost of producing x units of a particular čómmodity and p(x)-(36- x) price at which all x units will be sold. a. Use marginal cost to estimate the cost of producing the fourth unit. b. Find the actual cost of producing the fourth unit. c Use marginal revenue to estimate the revenue derived from the sale of the fourth unit. d. Find the actual revenue derived from the sale of the fourth unit.
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- Vodafone has one of the world’s largest mobile communications networks, with 83,900 employees serving over 370 million customers across more than 30 countries. With 2,200 retail stores and a further 10,300 branded franchises throughout the world. Vodafone products include messaging services for businesses and consumers, smartphones, mobile handsets and tablets. . Its current strategy is aimed at increasing the ‘average revenue per user’ through offering more and more added value mobile services. Detlef Schultz, winner of the 2011 Procurement Leader Award, was brought in to be the Global Supply Chain Management Director and chief executive officer of the Vodafone Procurement Company. His role was to not only manage the complexity of the procurement and supply chains for both goods and services but also fundamentally transform several fragmented supply chains into a single global function. The Vodafone Procurement Company was set up in 2008 with its headquarters based in Luxembourg.…You are the vice president of a firm. After some analysis, you have determined that increasing the salaries of your workers by 10% will likely help increase your firm's profits. As a result of this finding, you meet with your firm's CEO and urge them to implement this 10% pay raise. a) Describe two arguments in favour of this 10% pay raise that centers on its potential to improve worker productivity. b) Describe two arguments in favour of this 10% pay raise that centers on its potential to lower your firm’s total costs.ABC Company is the manufacturer of a low-noise air-purification system. Its current capacity is 10,000 units/month, but ABC received orders totaling 9,000 units each month. Currently, ABC sells its system at a price of $200 per unit, its fixed cost is $500,000/month, and its variable cost is $100/unit. Note that currently, half of ABC’s variable cost is materials, and the other half is labor cost (wages for workers). ABC wants to consider cutting its price by 10% to stimulate demand. If ABC expands its capacity, it will have to lease additional manufacturing machines, each of which will cost $20,000/month to lease and can add 1000 units to ABC’s capacity. All existing workers are already working full-time. So, if ABC expands production, ABC has to either pay existing employees for overtime (1.5 times the regular wages) or hire new workers, who are expected to be paid 90% of the hourly wage of existing workers but produce only 75% of the hourly output of existing workers. (a) What is…
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- 30. What happen when you add Total Fix Cost and Total Variable cost that is divided by their quantity. a. the assumption is that goods were produce but yet to be priced b. the assumption is that goods were produce but yet to be equalized c. the assumption is that goods were produce but yet to be quantified d. the assumption is that goods were produce but yet to be determinedTo maximize profit, a price taker will expand its output as long as the sale of additional units adds more to revenues (marginal revenues) than to costs (marginal costs). Therefore, the profit-maximizing price taker will produce the output level at which marginal revenue (and price) equals marginal cost. In a price-taker market, if a business produces efficiently (i.e., that is, where marginal revenues = marginal costs), the firm will be able to make at least a normal profit. True of False. ExplainA firm has a price of 18$ per unit for its products while it has a variable cost of VC = q2 + 2q where q is the level of output. In addition the firm has a fixed cost of 20$. a. Write the profit function b. Calculate the level of output which will maximize the profit c. Show that the critical (stationary ) point is a maximum point rather than a minimum. d. At this output level, what is the total profit?
- You are analyzing a new company’s records projecting their profits using a marginal profit function, P′(x), where P is profit, in thousands of dollars, and x is the number of items they sell, in hundreds. the integral is from 5 to 1 for P ′(x) dx = 22. If the company projects to earn $26,000 of profit from selling 500 items and $7000 of that revenue from selling 100 items, what is their projected cost from selling 100 items?An employer who employs m workers determines that they produce: units of that product daily. Total income (in dollars) is given by: 1) ¿What is the price, per unit, when there are 30 workers? 2) Determine the marginal revenue when there are 30 workers. 3) The product of marginal income corresponds to the rate of change of income with respect to the number of active employees, at a given moment. Determine the product of marginal revenue when m = 30Suppose a company has fixed costs of $1500 and variable costs of (3/4)x + 1120 dollars per unit, where x is the total number of units produced. Suppose further that the selling price of its product is 1200 − (1/4)x dollars per unit. (a) Find the break-even points. (Enter your answers as a comma-separated list.)x = (b) Find the maximum revenue. (Round your answer to the nearest cent)$ (c) Form the profit function, P(x), from the cost and revenue functions.P(x) = Find maximum profit. (Round your answer to the nearest cent.)$ (d) What price will maximize the profit? (Round your answer to the nearest cent.)