What is the demand function and cost function based on the set of data below? Price Quantity Profit $50 88 -$240 $25 289 -$240 $80 0. -$2000 $52 148 $1256 $51 143 $1003 $55 103 $575
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- 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.Calculate the price per unit if it is given that Total revenue is $840 and the total output is 32 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=70 -0.2D (D is the demand or quantity sold per month and p is the price in dollars). The fixed cost is $700 per month and the variable cost is $40 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 $ (Round to the nearest dollar.)
- 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=60-0.1D (D is the demand or quantity sold per month and p is the price in dollars). The fixed cost is $2,000 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? COLL a. The maximum profit per month for this product is $. (Round to the nearest dollar.) BOX AIA 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 (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. 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 from units to units. (Round up the lower limit and down the upper limit to the nearest whole number.)Calculate the output when the average revenue is $500 and the total revenue is $3000
- 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 functionPlease 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?The variable cost to make a certain product is $71 per unit. Research indicates that the lowest price no one will pay for this product is $156. Calculate optimal price for this product. (Rounding: penny.)
- The demand function of “İsot Capsicum Biber Komandit Şirketi" of Ceylanpınar is: p = 1000 e 2q where "p" is price in TL/kg and “q" is quantity sold in kg/min. Mr. Davut Tenorses, who is the COO of this company informs you that they export to hundreds of countries around the world and that they are operating 3 shifts a day for 30 days/month at maximum profit and wants you to find the cost function of his company in TL/month.Calculate output if total revenue is $6600 and the price per UNIT is $11A donut shp has a fixed cost of $92000 per day and a varibale cost of $2 for each donut produced. If the donuts are sold to distributors for $5 each. What is the price-demand function? What is the revenue function?