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- urgentttt need4. You have been hired as a consultant to estimate the demand for various brands ofcoffee in the market. You are provided with annual price data for two years by U.S.state and the quantities sold. You want to estimate a demand function for coffeeusing this data. What problems do you think you will encounter if you estimatedthe demand equation by OLS?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.
- )A two Product finm faces the follow- = 40-2P1 demand and Cost function 8- a) Find the output levels that satiaty the 12 demand amd 40-2P,-P2 タ,=35-P、- 8 follow- ng Cont function8 32 Demand function. C%=8it 20+ 10 cost function. a) Find the output levels that sati. order Conditions ythe tor maximum profit. 6)check the 2nd (ondition. Can you conclude that this Problem Posses a Order for sufficient unique maximum) c)What in the maximal profit?The chart below shows how annual electricity for an average Ontario household would vary with the price paid for electricity. Calculate the arc elasticity of demand for electricity for this average houschold. Also, in the final column, calculate the total revenue from sales of clectricity to this household. Price Quantity Demanded Kwh/year Total Revenue $/kwh Elasticity of Demand $0.25 1200 -0.36 $0.20 1300 $0.15 1400 $0.10 1500 $0.05 1600 Hint: The own price elasticity of demand is the percentage change in the quantity demanded divided by the percentage change in the price. What factors do you think influence the elasticity of demand for this household?A local newspaper currently has 84,000 subscribers at a quarterly charge of $30.Market research has suggested that if the owners raise the price to $32, they wouldlose 5,000 subscribers. Assuming that subscriptions are linearly related to theprice, what price should the newspaper charge for a quarterly subscription tomaximize their revenue?a) Find the cost function (Hint: find slope and use point-slope form to find thecost function) b) Find the revenue function c) Find the maximum revenue d) Find the profit function
- 1. The price per unit of X is 5, and the price per unit of Y is 10. Theconsumer currently has 435 in income. Now suppose that the price of X increases from 5 to 20. a) What is the price elasticity of demand for X?b) What is the income elasticity of demand for product X?c) What is the cross-price elasticity of demand between X and Y? Explain how you got the answers!for this graph answer the following question what is the total revenue? what is the total profit? what is the maximun point?2. The relationship between price and demand per month for a consumer product is p = 3500 -1.1D5 where p is the price per unit in dollars and D is the demand in units. The fixed cost is $300 per month and the variable cost is $4.00 per unit. What is the optimal number of units that should be produced and sold per month? a. b. What is the maximum profit per month?
- please answer in text form and in proper format answer with must explanation , calculation for each part and steps clearlyA firm estimated a demand function for their mugs:Dm = 1.25Y- 0.8Pm + 0.5Dc – 0.1PcWhere D stands for demand, Y is income growth, P is the price, m is mugs, and c is coffee. (a) What is the price and income elasticity of demand estimates for mugs? (b) How do we estimate the cross price elasticity between coffee mugs and coffee? Are they complementary goods or substitute goods?7