Suppose that the price p for a certain commodity declines toward $3 as the quantity available to consumers gets larger and larger. It is also known that when q=0, p=24, and when q=10, p=15. Determine the linear-to-linear rational demand function that satisfies these conditions. (Round any values to one decimal place if needed.)
p = ?
Suppose that the price p for a certain commodity declines toward $3 as the quantity available...
At a unit price of $768, the quantity demanded of a certain commodity is 73 pounds. If the unit price increases to $844, the quantity demanded decreases by 19 pounds. Find the demand equation (assuming it is linear) where p is the unit price and x is the quantity demanded for this commodity in pounds. p = ? At what price are no consumers willing to buy this commodity? $ According to the above model, how many pounds of this...
The demand function for a certain commodity is given by p 100e2. (p is the price per unit and q is the number of units.) (a) At what price per unit will the quantity demanded equal 4 units? (Round your answer to the nearest cent.) (b) If the price is $2.95 per unit, how many units will be demanded, to the nearest unit? units
14. Suppose that when the price of a certain commodity is p dollars per unit, then x hundred units will be purchased by consumers, where = -0.05 x + 38 The cost of producing x hundred units is hundred dollars is C(x) = 0.02x2 + 3x + 574.77 hundred dollars a. Express the profit P obtained from the sale of x hundred units as a function of x. Sketch the graph of the profit function. b. Use the profit curve...
Let Qd be the number of units of a commodity demanded by consumers at a given time t and let Qsdenote the number of units of the commodity supplied by producers at a given time t. Let p be the price in dollars of the commodity at time t. Suppose the supply and demand functions for a certain commodity in a competitive market are given, in hundreds of units, by Qs = 30 + p + 5 dp/dt Qd =...
The demand function for a certain commodity is given by p = 100e-9/2. (p is the price per unit and q is the number of units.) (a) At what price per unit will the quantity demanded equal 4 units? (Round your answer to the nearest cent.) $ (b) If the price is $1.99 per unit, how many units will be demanded, to the nearest unit? units
Suppose the following table represents the market demand and supply: Price per apple (P) Quantity demanded ( $2 $4.5 $8 Quantity supplied (Q) 10 35 70 64 16 a (10 points) Calculate the linear demand function: Q-a -bP. Draw the linear demand in a graph with price in the vertical axis and quantity demanded in the horizontal axis. Label all points including the intercept terms. Calculate the slope of the linear demand function What is the economic meaning of the...
Suppose it is known that the variable cost v is linearly related to the quantity produced so that when 0 units of a certain commodity are produced, the variable cost is $0, and when 16 units are produced, the variable cost is $80. If fixed costs are $1400, then write C as a quadratic function of q. C(q) =
The quantity demanded x ofe certain brand of DVD player is 3000/week when the unit price p is $485. For each decrease in unit price of $20 below $485, the quantity demanded increases by 500 units. The suppliers will not market any DVD players if the unit price is $300 or lower. But at a unit price of $525, they are willing to make available 2000 units in the market. The supply equation is also known to be linear (a)...
5) When the price of a certain commodity is p dollars per unit, customers demand r hundred units of the commodity, where How fast is the demand r changing with respect to time when the price is $6 per unit and decreasing at the rate of 25 cents per month? 1 6) The output at a certain plant is Q-0.09r20.12ry+0.04y2 units per day, where z is the number of hours of skilled labor used and y is the number of...
Suppose Tony's Corp. produces a differentiated commodity. The company has substantial control over the price of the product. The company's cost function is estimated to be TC = 200 - 20Q + Q2, where Q is the volume per day. The firm also has the following demand equation P = 60 - 2Q, where P represents the price per unit and Q the volume of daily sales. How much profit will the company make or how much loss will the...