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Marginal cost is given by the function :-
2Q2 - 130
And the
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- Market Equilibrium A retail chain will buy 900 cordless phones if the price is $10 each and 400 if theprice is $60. A wholesaler will supply 700 phonesat $30 each and 1400 at $50 each. Assuming that thesupply and demand functions are linear, find the market equilibrium point and explain what it means.A movie theater has been charging $ 10.00 per person and selling about500 tickets on Saturday and Sunday nights. After surveyingtheir customers, theater owners estimate that for every 50 cents theylower the price, the number of attendees will increase by 50 per night.Find the demand function and calculate the consumption surplus whentickets are sold for $ 8.00.A professor in the school of business of economics carried out a research for Toyota Kenya and found the overall demand for its vehicles has an elasticity of demand of 1.3. How would you interpret this co efficient?
- It has been mentioned that there should be a match of supply and demand in a company that produces spare parts.Department A can produce parts at a rate of 80/day.Department B uses those parts at the rate of 10/day.Each day unused parts are added to inventory.At what rate does inventory of unused parts buid up?Dollars 200 0 f XMR g hj Output D MC 41) Refer to the diagram. Equilibrium price is A) c. B) d. C) b. D) e. ATCA 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
- When sold for $790.00, a certain desktop has an annual supply of 129.5 million computers and an annual demand of 155.5 million computers. When the price increases to $865.00, the annual supply increases to 147.5 million computers, and the demand drops to 134.5 million computers. NOTE: Round slope and vertical intercept to 4 decimal places and use those rounded values to the end. (a) Assuming that the supply and demand equations are linear, find the supply and demand equations. Supply Equation p = Demand Equation p = esc (Note: The equations should be in the form p = mq + b where p denotes the price (in dollars) and q denotes the quantity (in billions). The slope and y-intercept should be accurate to 4 decimal places). (b) Find the Equilibrium price and quantity. Equilibrium price p = Equilibrium quantity q = 9- F2 A (Note: The equilibrium price should be accurate to 2 decimal places and quantity should be rounded to the nearest whole number, and the equilibrium price should include a…The quantity demanded each month of Russo Espresso Makers is 250 when the unit price is $140. The quantity demanded each month is 1000 when the unit price is $110. The suppliers will market 750 espresso makers when the unit price is $76 or higher. At a unit price of $96, they are willing to market 2250 units. Both the supply and demand equations are known to be linear. (a) Find the demand equation. P = (b) Find the supply equation. p= (c) Find the equilibrium quantity and the equilibrium price. units $The demand and supply functions for a particular commodity are D(x) = 80e-0.001x and S(x)= 30e0.001r , where x is the number of units of the product, D(x) is the price that results in a consumer demand of x units and S(x) is the price that results in a producer supply of x units. a. Find the equilibrium point using your calculator and identify the equilibrium units and price. Give your answers to the nearest whole unit and nearest dollar. The value of x at equilibrium is units. The value of p at equilibrium is b. Determine the consumers' surplus.
- The demand for bricks depends on the price. A brick company can sell 500 000 bricks at $3.00 each. For every $0.10 the price is raised they sell 10 000 fewer bricks. In addition, the company's cost, C in dollars, of producing each brick is related to the number of bricks to be 主 sold, n, where C 25 1 000 000 a Create an equation to represent the company's profit, P, in térms of z, the number of $0.10 price increases, (Note: Profit will equal revenue coNt.) 6.find the selling price (to the nearest.cent) and number of bricks sold that wil lead to a profit of $740 000. < Find the maxlmum profit (to the nearest dola), as well as the selling price (to the nearest cent) and number of bricks sold that produce the maximumprefitK- Suppose the revenue from producing (and selling) x units of a product is given by R(x)=7x-.01x² dollars. (a) Find the marginal revenue at a production level of 35. (b) Find the production levels where the revenue is $600. (a) The marginal revenue at a production level of 35 is dollars per unit. (b) The production levels where the revenue is $600 are (Use a comma to separate answers as needed.)4. There is no demand for a certain make of one-time use camera when the unit price is $ 12. However, when the unit price is $ 8, the quantity demanded is 8000/week. The supplier will not market any cameras if the unit price is $ 2 or lower. At $ 4/camera, however, the manufacturer will make available 5000 cameras/week. Given that both the supply and demand equations are linear: (a) Determine the associated linear demand function (b) Determine the linear supply function. (c) At what price should the camera be sold so that there is neither a surplus nor a shortage?