
2. (Based on 3.5) In economics, a demand curve shows the relationship between the price p...
p ot an iten Hu between the price shows the relationship a demand curve on 3.5) In economics, the number x (in thousands) of such items that can be sold at that price. Suppose that the demand a commodity is given by the formula x2000-p3,valid for p S 12. Note that the radical in this equation is a cube root, not a square root.) (a) Use implicit differentiation to find the rate of change of p with respect to x...
13. The diagram shows an individual's demand curve for a commodity. price P quantity The supplier of the commodity charges a price OP but limits the quantity available to each purchaser to OQ. Which area measures the consumer's surplus?
The demand function for a product is p= 108 - 0.2x where p is the price per unit(in dollars) and x is the number of units. a. Use differentials to approximate the change in revenue as sales increase from 20 units to 21 units. Compare this the actual change in revenue. b. Repeat step (a) when sales increase from 40 units to 41 units.
A commodity has a demand function modeled by p = 280 − 0.4x, and a total cost function modeled by C = 80x + 120, where x is the number of units. (a) What price yields a maximum profit? (b) Find the average cost per unit when x = 50 and x = 650. (c) Determine when the demand is elastic, inelastic, and of unit elasticity. (d) Use differentials to approximate the change in revenue as sales increase from 210...
2. A commodity has a demand function modeled by p = 1700 -0.016, and a total cost function modeled by C = 715,000 + 240. (a) Find the profit and marginal profit at * = 700 units. (b) What price yields the maximum profit. (c) Use differentials to approximate the change in profit as the number of units sold changes from 500 units to 525 units.
Please help on my elementary calculus hw :) - Stephany
2. A commodity has a demand function modeled by p = 1700 -0.016x, and a total cost function modeled by C = 715,000 + 240x. (a) Find the profit and marginal profit at 2 = 700 units. (b) What price yields the maximum profit. (c) Use differentials to approximate the change in profit as the number of units sold changes from 500 units to 525 units. 3. Use implicit differentiation...
2. The annual market own-price demand function for good X is estimated as X=142-5PX-1 -3.5 Py where X quantity demanded of good X in units/year Px = price of good X in dollars/unit per capita income in dollarsyear Py price of good Y in dollars/unit a) Calculate the market (own-price) demand curve when I = 25 and Py =12 b) Using your results from part a), calculate the quantity of good X demanded in the market when PX-10 c) Calculate...
A demand equation is an equation that describes the relationship between the price of an item and the number of items that would be sold at that price. For example, the demand equation q = 2140 − p/100 suggests that 0 items would be sold if the price were p = 214, 000 and 2140 items would be sold if the price were p = 0. The revenue function, R(q), is the amount of money that would be generated as...
The supply curve for T-shirts is given by the equation P = 8Q+2. The demand curve is given by the equation P =40-5Q. At a price to buyers of $20/shirt, 1)how much of a surplus or a shortage will there be? 2)At a price to buyers of $12/shirt, how much of a surplus or a shortage will there be? 3) Suppose that the government imposes a sales tax of $15 per T-shirt. What is the market price for the buyer?...
The law of supply shows a positive relationship between price and the quantity that will be supplied, holding all else constant. T OR F 6. If the price of good X increase, then the supply of good X will increase. T OR F 7. If supply increases, the supply curve will shift to the left. 8. Price is on the vertical axis for graphs of supply. T OR F 9. We observe that we have moved from one point on...