The demand function for a product marketed by a company is p = (80-D) / 4, where Dis the number of units and p is the price per unit. The value of D that will achieve maximum revenue is Blank 1 units.
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- The economic analysis division of Mapco Enterprises has estimated the demand function for its line of weed trimmers as QD=18,000+0.4N350PM+90Ps where N=numberofnewhomescompletedintheprimarymarketarea PM=priceoftheMapcotrimmerPS=priceofitscompetitorsSurefiretrimmer In 2010, 15,000 new homes are expected to be completed in the primary market area. Mapco plans to charge $50 for its trimmer. The Surefire trimmer is expected to sell for $55. What sales are forecasted for 2010 under these conditions? If its competitor cuts the price of the Surefire trimmer to $50, what effect will this have on Mapcos sales? What effect would a 30 percent reduction in the number of new homes completed have on Mapcos sales (ignore the impact of the price cut of the Surefire trimmer)?demand for a product is related to its selling price P (in dollars) by the equation n=2800-100p where n is the number of fans that can be sold per month at a price P. Find the selling price that will maximize the revenue.The demand function for FreshFood Exclusive Brand's product is D = 80 - 2p , where D is the number of units and 'p' is the price per unit. The value of D that will achieve maximum revenue is __________________.
- A large company in the communication and publishing industry has quantified the relationship between the price of one of its products and the demand for this product as Price = 150 − 0.01 × Demand for an annual printing of this particular product. The fixed costs per year (i.e., per printing) = $50,000 and the variable cost per unit = $40. What is the maximum profit that can be achieved? What is the unit price at this point of optimal demand? Demand is not expected to be more than 6,000 units per year.The demand function for a certain product is given by p = 500 + 1000/q+1 where p is the price and q is the number of units demanded. Find the average price as demand ranges from 46 to 96 units. (Round your answer to the nearest cent.)A large company in the communication and publishing industry has quantified the relationship between the price of one of its products and the demand for this product as Price=160−0.02×Demand for an annual printing of this particular product. The fixed costs per year (i.e., per printing)=$47,000 and the variable cost per unit=$40. What is the maximum profit that can be achieved? What is the unit price at this point of optimal demand? Demand is not expected to be more than 4,000 units per year. The maximum profit that can be achieved is $? (Round to the nearest dollar.) The unit price at the point of optimal demand is $? per unit.
- A company determines that the demand function for a product can be modeled by p=220-0.02x where x is the number of units produced per week. The fixed cost is $12,000 and the variable cost is $80/unit. Find the number of units that yields the maximum profit.The demand function for a firm's product is q= 500+50p where q equals the number of unit demanded and p equals the price in dollars a) Determine the price which should be charged to minimize total revenue b) what is the maximum value for total revenue?Q)1 a)What is the breakeven price of a product if the sales plan is 10,000 units, fixed costs are $20,000, variable cost is $4 per unit, and the profit goal is $5,000?b) What is the PE(Price Elasticity) of a product that sold 100 units at $5 and 73 units after the price was raised to $6?
- What is the inverse of this supply function? Qs =P-20A firm produces two goods, A and B. Due to the product A’s fall in popularity near the end of last year, the estimated demand (units purchased) for A is 25% less than that of B. The selling price per unit is $30 for A and $20 for B. If the revenue target is $85,000 this year, how much of each of the two goods must be sold? (Round to whole number if necessary)Q1. Game console manufacturing determines that in order to sell Q units, the price per unit (in dollar) must decreased by the linear demand (the demand function) P(Q)= 800- 0.3Q($/device) The manufacturer also determine that the cost depends on the volume of production and includes a fixed part 500,000($) and a variable part 500Q , that is C(Q)= 500000+ 500Q What price per unit must be charged to get the maximum profit?