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- For distract drivingDistance to city edge (miles) 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Housing Developer's Bid Rent ($/acre) $1,000,000 $900,000 $800,000 $700,000 $600,000 $500,000 $400,000 $300,000 $200,000 $100,000 $0 $0 $0 $0 $0 Farmer's Bid Rent Curve ($/acre) $600,000 $600,000 $600,000 $600,000 $600,000 $600,000 $600,000 $600,000 $600,000 $600,000 $600,000 $600,000 $600,000 $600,000 $600,000 The maximum amount that housing developers and farmers are willing to pay for land is depicted in the table above: 1. How far from the CBD will developers be willing to build houses? 2. If the market price of a harvest increases by $100,00 but farmer costs remain the same, what will happen to the edge of the city over the long run?Tha total revenue is $2400 and output is 80 units Calculate price per unit
- 10The owner of a skating rink rents the rink for parties at $1200 if 60 or fewer skaters attend, so that the cost per person is $20 if 60 attend. For each 5 skaters above 60, she reduces the price per skater by $0.50. (a) Construct a table that gives the revenue generated if 60, 70, and 80 skaters attend. No. of skaters Total Revenue 60 70 80 Price per Skater $ $ $ (b) Does the owner's revenue from the rental of the rink increase or decrease as the number of skaters increases from 60 to 80? O The revenue increases. O The revenue decreases. (c) Write the equation that describes the revenue for parties with x groups of five skaters more than 60 skaters. R(x) = (d) Find the number of skaters that will maximize the revenue. skaters (e) Find the maximum revenue. $ (f) When the revenue is at the maximum possible, what price is paid per skater? $D9)
- #6PRICE (Dollars per room) 500 450 400 350 300 250 200 150 100 50 0 Demand 0 50 100 150 200 250 300 350 400 450 500 QUANTITY (Hotel rooms) Graph Input Tool Market for Lakes'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 Mountaineer (Dollars per night) 350 150 50 100 200 ? For each of the following scenarios, begin by assuming that all demand factors are set to their original values and Lakes is charging $350 per room per night. If average household income increases by 10%, from $50,000 to $55,000 per year, the quantity of rooms demanded at the Lakes rooms per night to rooms per night. Therefore, the income elasticity of demand is from , meaning that hotel rooms at the Lakes are If the price of an airline ticket from DSM to ACY were to increase by 50%, from $100 to $150 roundtrip, while all other demand factors remain at their initial values,…1. (a) A company expects fixed cost of $55,000. Margin is to be 46 percent of the retail. Variable cost in addition to costs of goods is estimated at $0.06 per dollars of sale. Find the profit function using s for sales volume. (b) Square Hospital Limited charges every COVID patient a fixed amount for using their ICU facilities. What would be the graphical nature of the demand function of ICU in this case ? (c) Write down the general form of the Augmented matrix of a system of Linear Equation which consists of 5 equations and 4 unknowns. (0.5 0.5 (d) Calculate the steady state vector for the given transition matrix: (e) Assuming the nonnegativity constraints for each variables, calculate the total number of corner points for the following system of inequalities: 2x + 5y + 4z 2 29 3r + 2y + z 2 23 10r + 8y +5z > 62
- 1. The cost function for a commodity is given by C(x) - 200+12x+0.1x² (S) and the demand funct is p-300-0.02x ($/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(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 S70PRICE (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,…