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When x units of a certain luxury commodity are produced, they can all be sold at...
14. Suppose that when the price of a certain commodity is p dollars per unit, then...
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...
(1 point) A company produces x units of commodity A and y units of commodity B...
(1 point) A company produces x units of commodity A and y units of commodity B each hour. The company can sell all of its units when commodity A sels for p-100-8x dollars per unit and commodity B sells for q = 40-10y dollars per unit. The cost (in dollars) of producing these units is given by the joint-cost function C(x, y)-5xy +5. How much of commodity A and commodity B should be sold in order to maximize profit? Commodity...
Q 1) each unit of a certain commodity costs p = 43x + 96 cents when...
Q 1) each unit of a certain commodity costs p = 43x + 96 cents when x units of the commodity are produced. if all units are sold at this price, express the revenue derived from the sales as a function of x. Q 2) two car rental agencies are competing. one agency rents cars for $50 per day and $.30 a mile; the other agency rents cars for $30 per day and $.50 a mile. For a 9 day...
5) When the price of a certain commodity is p dollars per unit, customers demand r hundred units ...
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...
2. (3 points) A company produces x units of commodity A and y units of commodity...
2. (3 points) A company produces x units of commodity A and y units of commodity B. All the units can be sold for p = 90 – x dollars per unit of A and q = 60 – y dollars per unit of B. The cost (in dollars) of producing these units is given by the joint-cost function C(x, y) = + 2xy + y? What should x and y be to maximize profit? What is this maximum profit...
66. DEMAND FOR COMMODITIES Assume that the demand func tion for a certain commodity has the...
66. DEMAND FOR COMMODITIES Assume that the demand func tion for a certain commodity has the form ax+ where x is the quantity demanded, measured in units of a thousand and p is the unit price in dollars. Suppose the quantity demanded is 6000 ( 6) when the unit price is $8 and 8000 (x = 8) when the unit price is $6. Determine the demand equation. What is the quantity demanded when the unit price is set at $7.50?
MANUFACTURING PROFIT Rafael estimates that it costs $14 to produce each unit of a particular comm...
MANUFACTURING PROFIT Rafael estimates that it costs $14 to produce each unit of a particular commodity that sells for $23 per unit. There is also a fixed cost of $1,200. Express the cost C(x), the revenue R(x), and the profit P(x) as functions of the number of units x that are produced and sold. I have this answer** R (x) = 23x C (x) = 14x + 1,200 and P (x) = 9x - 1200 there are different answers already...
If the price charged for a candy bar is p(x) cents, then x thousand candy bars will be sold in a ...
If the price charged for a candy bar is p(x) cents, then x thousand candy bars will be sold in a certain city, where p(x) = 154-x 10 a. Find an expression for the total revenue from the sale of x thousand candy bars. b. Find the value of x that leads to maximum revenue. c. Find the maximum revenue. a. R(x)= 154000x-100x b. The x-value that leads to the maximum revenue is 770 c. The maximum revenue, in dollars,...
2. A firm produces (= units of a commodity when labour input is L units. The...
2. A firm produces (= units of a commodity when labour input is L units. The price obtained per unit of output is P, and the price per unit of labour is w, both positive. (a) Write down the profit function w. What choice of labour input L=L* maximizes profits? (b) Consider L* as a function L (P, w) of the two prices, and define the value function (P, w) = (L* (P, w), P, w) Verify that ax/aP =...
14. What is domain of function f(x)=√x + x² The prica sold of a certain quantity...
14. What is domain of function f(x)=√x + x² The prica sold of a certain quantity ह produet obey the demandt equation. P= - - - - x +150 2 ay Find a model that express the revere a function of y. (R=xp) X maximizes revenue. R as b) who hat quantity
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...
(1 point) A company produces x units of commodity A and y units of commodity B each hour. The company can sell all of its units when commodity A sels for p-100-8x dollars per unit and commodity B sells for q = 40-10y dollars per unit. The cost (in dollars) of producing these units is given by the joint-cost function C(x, y)-5xy +5. How much of commodity A and commodity B should be sold in order to maximize profit? Commodity...
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...
2. (3 points) A company produces x units of commodity A and y units of commodity B. All the units can be sold for p = 90 – x dollars per unit of A and q = 60 – y dollars per unit of B. The cost (in dollars) of producing these units is given by the joint-cost function C(x, y) = + 2xy + y? What should x and y be to maximize profit? What is this maximum profit...
66. DEMAND FOR COMMODITIES Assume that the demand func tion for a certain commodity has the form ax+ where x is the quantity demanded, measured in units of a thousand and p is the unit price in dollars. Suppose the quantity demanded is 6000 ( 6) when the unit price is $8 and 8000 (x = 8) when the unit price is $6. Determine the demand equation. What is the quantity demanded when the unit price is set at $7.50?
If the price charged for a candy bar is p(x) cents, then x thousand candy bars will be sold in a certain city, where p(x) = 154-x 10 a. Find an expression for the total revenue from the sale of x thousand candy bars. b. Find the value of x that leads to maximum revenue. c. Find the maximum revenue. a. R(x)= 154000x-100x b. The x-value that leads to the maximum revenue is 770 c. The maximum revenue, in dollars,...
2. A firm produces (= units of a commodity when labour input is L units. The price obtained per unit of output is P, and the price per unit of labour is w, both positive. (a) Write down the profit function w. What choice of labour input L=L* maximizes profits? (b) Consider L* as a function L (P, w) of the two prices, and define the value function (P, w) = (L* (P, w), P, w) Verify that ax/aP =...
14. What is domain of function f(x)=√x + x² The prica sold of a certain quantity ह produet obey the demandt equation. P= - - - - x +150 2 ay Find a model that express the revere a function of y. (R=xp) X maximizes revenue. R as b) who hat quantity
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