Suppose that the demand and supply functions for good x are given as follows: Q = 240 – 2P, + I – P, and Q =-30+ P, - 2t + s- 2f where P, denotes the price of good x. P, denotes the price of a related product y, I denotes income, t denotes tax firms face, s denotes subsidy and f denotes factor prices. Suppose also that exogenous variables are given as follows: Income (I)=450, Price of the related product (P,) = 30, tax (t) =24, subsidy (s)=15 and factor prices (f)-36. %3D What are the equilibrium price and output values. respectively? 100, 240 130, 265 265, 130 240, 100
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- PB PA The demand equations for related products A and B are given by QA = 10 and 96 PB quantities of A and B demanded, and PA and pe are the corresponding prices (in dollars) per unit. (a) Find the values of the two marginal demands for product A when PA = 16 and p = 9. (b) If pg is reduced to 7 from 9, with PA fixed at 16, use part (a) to estimate the corresponding change in demand for product A (a) Find the marginal demand for A with respect to PA. Select the correct choice below, and fill in the answer box to complete your choice. (Simplify your answer.) A. B. ap A A JªA ap A where 9A and q are the =You have been hired as a marketing consultant to Johannesburg Burger Supply, Inc., and you wish to come up with a unit price for its hamburgers in order to maximize its weekly revenue. To make life as simple as possible, you assume that the demand equation for Johannesburg hamburgers is linear. (a) Your market studies reveal the following sales figures: When the price is set at $2.00 per hamburger, the sales amount to 6000 per week, but when the price is set at $4.00 per hamburger, the sales drop to zero. Use these data to find the linear demand function q(p), where p is the price per hamburger and q is the number of hamburgers they sell at that price per week. q(p) = (b) Find the price elasticity of demand. E(p) = (c) When you raise the price by 1% from $2 per hamburger, the demand decreases Demand is of unit elasticity. v by X %.You have been hired as a marketing consultant to Johannesburg Burger Supply, Inc., and you wish to come up with a unit price for its hamburgers in order to maximize its weekly revenue. To make life as simple as possible, you assume that the demand equation for Johannesburg hamburgers is linear. (a) Your market studies reveal the following sales figures: When the price is set at $2.00 per hamburger, the sales amount to 5000 per week, but when the price is set at $4.00 per hamburger, the sales drop to zero. Use these data to find the linear demand function q(p), where p is the price per hamburger and q is the number of hamburgers they sell at that price per week. q(p) = (b) Find the price elasticity of demand. E(p) = (c) When you raise the price by 1% from $2 per hamburger, the demand decreases by %. Demand is of unit elasticity. v
- Please solve questions 15, 16 and 17. The multivariate demand function below will be needed for questions 12-18. Setting: Grapple, Inc. is a leading seller of laptop personal computers. However, they want to become a leading tablet seller, too. Your marketing department, aided by your economics staff, has estimated a function to help you in the quest for market leader in tablets. The variables are defined after the function. Qg = 10000 - 25Pg + 20Ph + 30Pr - 15dv - 35Psc - 10Pmm + 0.05Ag + 0.03A -25C + 0.1Y Qg = the number of Grapple tablet computers demanded per week. Pg = the price of each new Grapple tablet (in $). Ph = the price of each Hewpaq tablet (in $). Pr = the price of each Ronova tablet. Pdv = the price to equip a tablet with Holographic digital video (in $, this is an upgrade option that enables three-dimensional graphics on a tablet. Two-dimensional graphics is standard equipment). Psc = the price of various screen sizes (in $, a 8 inch is…I- Demand for a product is estimated to be Q=960 - 1.2P + 1.4Y +.003A where, Q and P are the quantity and price of the product respectively, Y is income, and A is the advertising expenditures. All the variables are in the natural logarithmic form and all the estimated coefficients are statistically significant. The average annual sale and the average price of the product are 60000 units and $8000 respectively. A. Price elasticity of demand is -------------, income elasticity of demand is ---------, advertising elasticity of demand is B. The optimum level of advertising spending for the firm is(c) Due to good weather, there is an increase in demand for the good. The new demand equation is Qd = 190 - 2P. The government is trying to decide between two options: Maintain the number of quotas and let the market adjust, or Maintain the price support and increase the number of quotas. Suppose that the government decided to maintain the number of quotas and let the market adjust calculate: (i) price observed in the market (ii) the consumer surplus (iii) the producer surplus (iv) deadweight loss
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