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- How do we calculate the total amount of pagecant costs, price profit, profit make up and selling costsProblem 1 A lash adjuster keeps the pressure constant on engine valves, increasing automobile engines' fuel efficiency. The relationship between price (p) and monthly demand (D) for lash adjusters made by the Wicks Company is given by this equation: D=(2,000-p)/0.10. 6 a) What is the demand (D) when total revenue is maximized? b) What important data are needed if maximum profit is desired? & 7 IAA fg 8 DII myhp np f10 DDI 9 fi Po 112 prt scRefer to the table below: Quantity (Bushels) (Q) 0 1 2 DEEL AWN 6 10 Total Revenue (TR) $0.00 4.00 8.00 12.00 16.00 20.00 24.00 28.00 32.00 36.00 40.00 Total Cost (TC) $1.00 4.00 6.00 7.50 9.50 12.00 15.00 19.50 25.50 32.50 40.50 Profit (TR-TC) -$1.00 0.00 2.00 4.50 6.50 8.00 9.00 8.50 6.50 3.50 - 0.50 Marginal Revenue (MR) $4.00 4.00 4.00 4.00 4.00 4.00 4.00 4.00 4.00 4.00 Marginal Cost (MC) $3.00 2.00 1.50 2.00 2.50 3.00 4.50 6.00 7.00 8.00 bushels of wheat (enter a whole number). Farmer Parker will maximize profits by producing Suppose that the marginal cost of wheat increases by $0.50 for every bushel of wheat produced. For example, the marginal cost of producing the eighth bushel of wheat is now $6.50. Will this increase in marginal cost change the profit-maximizing level of production for Farmer Parker? How much profit will Farmer Parker make now? $ (round your answer to the nearest penny).
- PRICE (Dollars per room) 500 450 400 350 300 250 200 150 100 50 0 0 Demand + 50 100 150 200 250 300 350 400 450 500 QUANTITY (Hotel rooms) Graph Input Tool Market for Oceans's Hotel Rooms Price (Dollars per room) Quantity Demanded (Hotel rooms per night) Demand Factors Average Income (Thousands of dollars) Airfare from DSM to ACY (Dollars per roundtrip) Room Rate at Meadows (Dollars per night) 300 200 40 200 rooms per night to ,hotel rooms at the Oceans and hotel rooms at the Meadows are 200 For each of the following scenarios, begin by assuming that all demand factors are set to their original values and Oceans is charging $300 per room per night. If average household income increases by 50%, from $40,000 to $60,000 per year, the quantity of rooms demanded at the Oceans rooms per night to rooms per night. Therefore, the income elasticity of demand is Oceans are ? from meaning that hotel rooms at the If the price of a room at the Meadows were to decrease by 20%, from $200 to $160,…6. Elasticity and total revenue I The following graph shows the daily demand curve for bippitybops in Vancouver. On the following graph, use the green rectangle (triangle symbols) to shade the area representing total revenue at various prices along the demand curve. Notice that when you click on the rectangle, the area is displayed. Note: You will not be scored on any changes made to this graph. PRICE (Dollars per bippitybop) 240 220 200 180 160 140 120 100 80 60 40 20 0 0 6 12 ** + 48 B 18 24 30 36 QUANTITY (Bippitybops per day) Demand 54 80 72 Total Revenue ?(a) What is the profit-maximizing level of output and how much daily profit will the producer below earn if the price of pizza is $ 2.50 per slice? MC S/lice ATC AVe 2.50 1.40 slices/day S70
- 3. Suppose that the total revenue function for a commod- ity is R = 64x- 0.02x². (a) Find R(100) and tell what it represents. (b) Find the marginal revenue function. (c) Find the marginal revenue at x = 100 and tell what it predicts about the sale of the next unit and the next 3 units. (d) Find R(101) - R(100) and explain what this value represents.12 st L8 Get & Transform Data 4 6 7 1 2 Available Product 3 8 9 10 11 12 13 A 14 15 16 17 18 19 20 All :X ✓ fx B Pounds made Workbook Links Queries & Connections 3000 Flour (ounce) 1500 Egg (piece) 4500 Labor (man-hour) Unit Price Variable Cost Demand UCM Adiucted C 3.2 1.5 6 D $12.50 $6.50 960 $6.00 2.6 1.5 5 Data Types $11.00 $5.70 928 $5.30 E 1.5 1 4 <1 $9.00 $3.60 1041 $5.40 F 0 0 0 0 Banana Muffin Choc Muffin Banana Cookies Choc Cookies Milk Bread White Bread 0.7 0.3 0.5 0 2.5 1.5 $6.00 $3.00 $2.20 $1.20 1084 1055 $3.80 $1.80 AV 0 0.8 1 3 G $7.00 $2.80 977 $4.20 Sort & Filter H Advanced 01. The cost function for a commodity is given by C(x) - 200+12x+0.1x² (S) and the demand funct is p-300-0.02x ($/unit) where x- quantity (demanded and produced). (a) What is the profit function for this commodity? (b) Find the marginal profit function. (c) What is the marginal profit when x-10?! (d) What does this marginal profit tell you? (e) Find the level of demand at which profit is a maximum. Show how you do this using calculus. (1) What is the maximum profit, and what is the selling price that realizes this profit? Ans: R(x)-300x-0.02x², P(x)=-0.12x² +288x-200, P'(10) - 285.6 (S), approximate increase in profit from selling one more unit when sales are at 10 units, solving P'(x)-0 gives max at unit. x-1200 units, max profit - $172,600, price = 300-0.02(1200)-$276 per
- Since most consumers spend very little on salt, a small increase in the price of salt will:A. reduce quantity demanded by a large amountB. not reduce quantity demanded by very muchC. not change quantity demandedD. increase quantity demanded by a small amount 2.Fred is considering opening a ski shop in Colorado. Assume Fred will incur the following costs: building rent= $100000/year, inventory= $250000/ year, energy=$50000/year, and labor (one clerk) = $10000/year. In addition, Fred’s current income as a computer programmer is $40000 per year. Assuming Fred would earn $ 460000 in revenues, he could expect to earn:A. an accounting profit of $10000 per yearB. an accounting profit of $ 60000 per yearC. an economic profit of $ 10000 per yearD. an economic profit of $50000 per year 3.Suppose a firm employs only capital and labour (K and L) and its production function is Q = 2KL. If the quantities of labour and capital are fixed at K =10 and L = 25, then:A. total output cannot exceed 125B.…4. Elasticity and total revenue The following graph shows the daily demand curve for bippitybops in Denver. 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. 120 110 100 Total Revenue 90 B0 70 50 40 30 20 10 Demand 10 20 30 40 50 70 90 100 110 120 QUANTITY (Bippitybops) PRICE (Dollars per bippitybop)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 ?