The graph of f(x)=√ is given below. The target input and output are listed on the graph. Target Output = 2 Target Input = 4 If the output tolerance is 0.7, what are the largest and smallest acceptable output values? Largest Acceptable Output = f(x) Smallest Acceptable Output =

Producers' Surplus The manufacturer of a brand of mattresses will make x hundred units available in the market when the unit price is p = 50 + 90e0.06x dollars. (a) Find the number of mattresses the manufacturer will make available in the marketplace if the unit price is set at $200/mattress. (Round your answer to the nearest integer.) mattresses (b)   Use the result of part (a) to find the producers' surplus if the unit price is set at $200/mattress. (Round your answer to the nearest dollar.) $

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The wage rate of Zeta Corp. employees is 20 million per month, while the cost of one unit of machine is 80 million per month. Currently, Zeta Corp. produces 100 units of output and employs 20 employees and uses 5 units of production machines. This combination of factors of production is the most efficient for the company. So If Zeta Corp. wants to increase its output to 200 units but it cannot change its number of machines (from 5 units), what is the optimal number of employees and production costs of Zeta Corp.?

MY NOTES PRACTICE ANOTHER Charter Revenue The owner of a luxury motor yacht that sails among the 4000 Greek islands charges $704/person/day if exactly 20 people sign up for the cruise. However, if more than 20 people sign up (up to the maximum capacity of 100) for the cruise, then each fare is reduced by $8 for each additional passenger. Assuming at least 20 people sign up for the cruise, determine how many passengers will result in the maximum revenue for the owner of the yacht. passengers What is the maximum revenue? 24 What would be the fare/passenger in this case? (Round your answer to the nearest dollar.) dollars per passenger Need Help? Read It

A company produces and sells a consumer product and is able to control the demand for the product by varying the selling price. The approximate relationship between price and demand is p= 200-0.05D where p is the price per unit in dollars and D is the demand per month. The company is seeking to maximize its profit. The fixed cost is $15000 per month and the variable cost is $50 per unit. a. What is the number of units that should be produced and sold each month to maximize profit? b. What is the domain of profitable demand during a month? Show your spreadsheet.

The cost of controlling carbon dioxide emissions [C(E)] at a firm goes up rapidly as the amount of emissions (E) increase. Let's assume the relationship is defined by the function below. C(E)= 5000+ 40E +2E² E20 where E is measured in tonnes per year and C is measured in dollars per year. a) Determine the Marginal Cost function for controlling carbon dioxide emissions and find the marginal cost at 50 tonnes of emissions: b) Determine the Average Cost Function for controlling carbon dioxide emissions and find the tonnes of emissions at minimum average cost. c) The government is charging a tax of $270 for every tonne of carbon dioxide emitted. At, 50 tonnes of emissions, is it profitable for the firm to control emissions on its own or pay the carbon tax?

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Cost, revenue, and profit are in dollars and x is the number of units. A firm knows that its marginal cost for a product is MC = 4x + 20, that its marginal revenue is MR = 50 – 6x, and that the cost of production of 100 units is $22,100. (a) Find the optimal level of production. units (b) Find the profit function. P(x) = (c) Find the profit or loss at the optimal level. There is a profit v of $

(2) A study indicates that spending money on pollution control is effective up to a point but eventually becomes wasteful. Suppose it is known that when x million dollars is spent on 100-F 0.03x² +9 controlling pollution, the percentage of pollution removed is given by P(x)= (i) At what rate is the percentage of pollution removal P(x) changing when 16 million dollars is spent? Is the percentage increasing or decreasing at this level of expenditure?