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=90-0.2D (D is the demand or quantity sold per month and p is the price in dollars) The fixed cost is $1,900 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?
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- 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?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=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 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.2. The relationship between price and demand per month for a consumer product is p = 3500 -1.1D5 where p is the price per unit in dollars and D is the demand in units. The fixed cost is $300 per month and the variable cost is $4.00 per unit. What is the optimal number of units that should be produced and sold per month? a. b. What is the maximum profit per month?The following graph illustrates the weekly demand curve for motorized scooters in Roanoke. Use the green rectangle (triangle symbols) to compute total revenue at various prices along the demand curve. Note: You will not be graded on any changes made to this graph. PRICE (Dollars per scooter) 260 240 220 200 180 160 140 120 100 80 60 40 20 0 0 9 18 27 A X B Demand 36 45 54 63 72 81 QUANTITY (Scooters) 90 99 108 117 Total Revenue ?
- The following graph illustrates the weekly demand curve for motorized scooters in Madison. Use the green rectangle (triangle symbols) to compute total revenue at various prices along the demand curve. Note: You will not be graded on any changes made to this graph. PRICE (Dollars per scooter) 325 300 275 250 225 200 175 150 125 100 75 50 25 0 0 10 A + 20 30 X B Demand 40 50 60 70 80 QUANTITY (Scooters) 90 100 110 120 130 Total Revenue ?(a) At what output is the firm’s profit maximised and How much profit is made at this output? (b) Draw the total profit TΠ curve over the range of output where positive profit is made. (d) How much is total fixed cost, At what output is the price elasticity of demand equal to -1 and At what outputs does the firm break even?2. 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 2,700 5,000 p = $38 + D for D >1 D2 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 $1,000 per month and the variable cost (c,) is $40 per unit. a. What is the number of units that should be produced and sold each month to maximize profit? b. Show that your answer to Part (a) maximizes profit.
- 6. Let p(x) = 4 – 0.0002x be the price (in TL) of each unit of a certain product required to attract a demand of x units in a year and let C(x) = 600 + 3x be the total cost of producing x units of the product in a year. (a) (- as large as possible? What is the number of units that should be produced to make the yearly profit (b) What is the yearly profit in case (a)A small factory produces a small toy with a fixed cost of S10,000month. If the factory manager wants to have a profit of $2 per unit, the revenue is $15unit and variable cost is $5/unit what is quantity to achieve this profit?Price Quantity Total Revenue Fixed Cost Variable Cost Profit (Dollars per tote) (Totes) (Dollars) (Dollars) (Dollars) (Dollars) 10.00 44,000 16.00 44,000 40.00 44,000 If the firm shuts down, it must incur its fixed costs (FC) in the short run. In this case, the firm's fixed cost is $44,000 per day. In other words, if it shuts down, the firm would suffer losses of $44,000 per day until its fixed costs end (such as the expiration of a building lease). This firm's shutdown price—that is, the price below which it is optimal for the firm to shut down—is per tote.