4) If the range of profitable demand for a company producing digital pumps was D'1 = 8.5 units and D'2 = 19.8 units that means: a) If the company produced between 9 pumps and 19 pumps, it will make profit. b) If the company produced between 9 pumps and 50 pumps, it will make profit. c) If the company produced between 8 pumps and 19 pumps, it will make profit. d) If the company produced between 8 pumps and 20 pumps, it will make profit.
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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.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 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.)
- 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 fileFind the total revenue generated if price is $30 and output sold is 66 unitsA company estimates that the relationship between. unit price and demand per month for a potential new product is approximated by p= $100.00-$0.10D. The company can produce the product by increasing fixed costs $17,500 per month, and the estimated variable cost is $40.00 per unit. What is the demand that maximizes revenue and the maximum revenue? What is the optimal demand, D*, and based on this demand, should the company produce the new product? Why? (Work out the complete solution by differential calculus, starting with the formula for profit or loss per month.)
- Calculate the output when the average revenue is $500 and the total revenue is $3000The 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 ?Ace Shoe Company sells heel replacement kits for men's shoes. It has fixed costs of $6 million and unit variable costs of $5 per pair. If the company charges $15 per pair, how many pairs must it sell to break even? Ace Shoe Company sells heel replacement kits for men's shoes. It has fixed costs of $6 million and unit variable costs of $5 per pair. Ace would like to earn a profit of $2 million; how many pairs must they sell at a price of $15? Ace Shoe Company sells heel replacement kits for men's shoes. It has fixed costs of $6 million and unit variable costs of $5 per pair. Suppose a consultant tells Ace it can sell 700,000 heel repair kits, what price must it charge to achieve a profit of $2.5 million?
- Which type of graph will be suitable for representing the above sales revenue by regionsThe 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 ?Please answer c ,d subparts..