1. Given the price-demand function p(x)=-4x+320, and Total cost function C(x)=40x+3604. (a) Using Break-even analysis, state the range of values that guarantees profit. (b) Find the unit price that yields maximum profit.
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- Given Cost and Price (demand) functions C(q) = 110q + 45000 and p(q) = - 2.8q + 800, what profit can be earned if the price is set to be $550 per item? U The profit is $ 1,?9 (Round to the nearest cent.) A company produces a special new type of TV. The company has fixed costs of $499,000, and it costs STT00 to produce each TV. The company projects that if it charges a price of $2300 for the TV, it will be able to sell 850 TVs. If the company wants to sell 900 TVs, however, it must lower the price to $2000. Assumo a linear demand. What is the marginal profit if 200 TVs are produced It is $ 0 per item. (Round answer to nearest dollar.)Showing your analytical work clearly in a step by step manner is a must. Otherwise points will be deducted. You can use Excel or any other graphing tool. 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? Answer all questions neatly pleaseA manufacturing company produces ACME Standard Widgets having a fixed cost of $50 and variable cost of $8 per unit. Sales history indicates that the sales price in dollars, P, varies with the demand, D, by the function: P = 200 - 0.1D Determine the following: Optimum demand for the widgets. Maximum profit that can be made. Determine the range of demands for which the company is profitable.
- 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 = 2x + 25, that its marginal revenue is MR = 73 – 6x, and that the cost of production of 80 units is $8,560. (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 -Select--- v of $Please no written by hand the demand function for a manufacturer's product is p = f(g) = - 0.20g + 500, where p is the price (in dollars) per unit when q units are demanded (per day). Find the level of production that maximizes the manufacturer's total revenue and determine this revenue. what quantity will maximize the revenue. q = blank unitsA company has established that the relationship between the sales price for one of its products and the quantity sold per month is approximately p = 75 – 0.1D units (D is the demand or quantity sold per month and p is the price in dollars). The fixed cost is $1,000 per month and the variable cost is $30 per unit produced. Solve, a. What is the maximum profit per month related to thisproduct? b. What is the range of profitable demand during a month?
- Consider a firm with the market demand function for its product given by: p =1000 – 2Q; and total cost of production given by: TC = Q3 – 59Q2 + 1315Q + 2000. (a) Obtain the firm’s Total Revenue function. (b) Find the amount of Total Revenue when the firm sells 30 units of output. (c) Obtain the firm’s Profit function. (d) Find the amount of Total Profit when the firm sells 30 units of output.XYZ company can manufacture their own products and sells them. They are able to control the demand by changing the price that is determined by the equation below. The company is thinking of maximizing their profit. The fixed cost is $1,000 per month and the variable cost is $40 per unit. Find the number of units that must be manufactured and sold monthly to maximize profit. (Demand D in the equation is monthly) Hint: Profit = Total Revenue - Total Cost 2,700 5,000 p = $38 + D for D > 1 D2 1 Add filePlease answer with details on how to do it. A small company manufactures a certain product. Variable costs are $20 per unit and fixed costs are $10,875. The price demand relationship for this product is P = -0.25D + 250, where P is the unit sales price of the product and D is the annual demand. Total cost = fixed cost + Variable cost, TC = CF + CV Revenue = Demand x Price, TR = D x P Profit = Total Revenue – Total Cost, P = TR – TC a) Develop the equations for the total cost and total revenue. Find the breakeven quantity c) How many units must be sold to maximize profit? What is the company’s maximum profit?
- (a) How would one estimate the full cost to an airline if one of its planes is held over for 24 hours in an airport for repair? (b) A company has spent $10 million to develop a product for market. During the product’s first two years, the company’s profit was $6 million. In recent years, the market was flooded by rival products and now the company is reassessing its product. If it abandons the product, it can recover $2 million of its original investment by selling its production facility. If it continues to produce the product, its estimated revenues for successive two-year periods will be $5 million and $3 million and its costs will be $4 million and $2.5 million. (After four years the plant will have zero resale value.) What would be the company’s best course of action? (c) Two decades ago, the global demand and supply curves for copper were: Qd = 15-10P and Qs = -3 + 14P, where Q is measured in millions of metric tons per year. Find the competitive price and quantity. Suppose that…A company has established that the relationship between the sales price for one of its products and the quantity sold per month is approximately p= 75 -0.10 (D is the demand or quantity sold per month and p is the price in doilars). The fbxed cost is $1.000 per month and the variable cost is $30 per unit produced. a. What is the maximum profit per month for this product? b. What is the range of profitable demand during a month? a. The maximum profit per month for this product is S (Round to the nearest dollar.) b. The range of profitable demand during a month is from units to units. (Round up the lower limit and down the upper limit to the nearest whole number.)A company has established that the relationship between the sales price for one of its products and the quantity sold per month is approximately p=85-0.2D (D is the demand or quantity sold per month and p is the price in dollars). The fixed cost is $1,500 per month and the variable cost is $20 per unit produced. a. What is the maximum profit per month for this product? b. What is the range of profitable demand during a month?