Good X Good X is normal Good Y is normal Good X is inferior Good Y is inferior (250X SOY I (150x, 150Y) (100x, 100) Income $2000, P-$10, P,-510 *** SOX, 250Y) IC, ca000, P510, P-$10 Good Y
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- What kind of relationship exist between income and demand of inferior good? (a) Direct (b) Inverse (c) No effect (d) Can be direct or inverseThe 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? $The marginal utility of a good or service declines as one more unit is consumed because: (a) supply slopes upwards. (b) consumers are constrained by income (c) of the law of diminishing marginal utility. (d) prices move with demand.
- 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,…PRICE (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 $150 roundtrip, while all other demand factors remain at their initial values,…Shane teaches guitar lessons. The graph below shows the comparison of his expenses and revenue for one month. r ($) L -1000 000 -600 200 Number of Lessons Expenses Revenue How many lessons must he teach to break even?
- The demand for a commodity increases when its 1 (A) price increases (B) price decreases (C) price is constant (D) none of the aboveA manufacturer produces bolts of a fabric with a fixed width. The quantityqof this fabric(measured in yards) that is sold is a function of the selling pricep(in dollars per yard), sowe can writeq=f(p). Then the total revenue earned with selling pricepisR(p)=pf(p).The 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 $1, the demand will increase by the absolute value of this number of units.…
- The profit function for a certain commodity is P(x) - 190x - x - 1000. Find the level of production that yields maximum profit, and find the maximum profit. units P-$ Need Help? Talk to a Tutor Read t Watch itSOLVE STEP BY STEP DONT USE CHATGPT In a market, a supply and demand table is presented for a product. Assume that your relationship is linear Price in dollars (P) 300 350 400 450 Quantity (Q) Weekly Offered (O) 1000 2000 3000 4000 Quantity (Q) Weekly Respondent (D) 3000 2500 2000 1000 Find the linear supply and demand functions for this product Find the market equilibrium point1. 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