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- Price ($) 1000 500 300 0 300 500 Supply Demand What is the total cost of producing 300 iPads? 1000 QuantityQuantity of Utensils demanded Revenue Price of Total Marginal Utensil Revenue $50 100 $45 200 $40 300 $35 400 |$30 500 $25 600 $20 700 $15 800 $10 900The demand for q units of a product depends on the price p (in dollars) according to 512 P q= - 1, for p > 0. Find and explain the meaning of the instantaneous rate of change of demand with respect to price when the price is as follows. (a) $16 (b) $64 Interpret the instantaneous rate of change. O If price decreases by the absolute value of this amount, the demand will drop by 1 unit. O If price increases by $1, the demand will increase by the absolute value of this number of units. If price decreases by $1, the demand will drop by the absolute value of this number of units. If price increases by the absolute value of this amount, the demand will drop by 1 unit. If price increases by $1, the demand will drop by the absolute value of this number of units. Interpret the instantaneous rate of change. O If price decreases by the absolute value of this amount, the demand will drop by 1 unit. O If price increases by $1, the demand will increase by the absolute value of this number of units.…
- Term used to describe demand that can be accuratelycalculated to meet the need of a production schedule,for example.A used car dealership rents 210 cars for $9 a day. They want to increase the price to maximize their profits. They notice that if they increase the price by $1.25 that they have fewer rentals. Create an equation for profit for the car dealership rental sales. Determine the price of the rental that maximizes profitFind total revenue when price Is $45 per unit and the total quantity sold is 7
- Hand written solutions are strictly prohibittedThe 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 ?nd 35. AVERAGE SUPPLY A manufacturer supplies S(p) = 0.5p² + 3p + 7 hundred units of a Sie per certain commodity to the market when the price is p dollars per unit. Find the average supply as the price varies from p = $2 to p = $5. 6 43. E
- 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.On the following graph, use the green point (triangle symbol) to plot the annual total revenue when the market price is $40, $60, $80, $100, $120, $140, and $160 per bike. 6250 5820 Total Revenue 5390 4960 4530 4100 3670 3240 2810 2380 20 40 60 80 100 120 140 160 180 200 220 240 PRICE (Dollars per bike) According to the midpoint method, the price elasticity of demand between points A and B is approximately Suppose the price of bikes is currently $80 per bike, shown as point A on the initial graph. Because the demand between points A and B is , a $20-per-bike decrease in price will lead to in total revenue per day. In general, in order for a price increase to cause an increase in total revenue, demand must be TOTAL REVENUE (Dollars)A restaurant has a steady annual demand for 885 bottles of California wine. It costs $3 to store 1 bottle for 1 year, and it costs $7 to place a reorder. Find the optimum number of bottles per order. The optimum number of bottles per order is. (Type a whole number.)
