What is the shadow price in the following constrained optimization problem? (Round answer to two decimal places Мах y = 4x1x2 + xỉ s.t 2x, + x2 = 100
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![What is the shadow price in the following constrained optimization problem? (Round answer to two decimal places)
Маx
y = 4x1x2 + xỉ
s.t
2x1 + x2 = 100](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd2e96752-acad-4edb-bbe7-bc1e955375e0%2Fef90a5ce-a4c1-46b0-9ca8-65636c307e82%2F39z1e0x_processed.png&w=3840&q=75)
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- Green et al. (2005) estmate the supply and demand curves for Californa processod tomatoes. The supply function is: \[ \ln \left(Q_{s}\right)=0.200+0.550 \ln (p) \] whereQis the quantify of processing tomatoes in milions of tons per year andpis the price in dollars per ton. The demand function is: \[ \ln \left(Q_{d}\right)=2600-0.200 \ln (p)+0.150 \ln \left(p_{1}\right) . \] wherep1is the price of tornato paste (which is what processing tomatoes are used to produce) in dollars per ton. Supposept=$119Determine how the equilerium price and quantity of processing tomatees change if the price of tomato pasise tails by16%. If the price of tomato paste fals by18%, then the equaborium price will by 5 (Enter a numene response using a real number rounded to two decimal places)A large company in the communication and publishing industry has quantified the relationship between the price of one of its products and the demand for this product as Price = 150 - 0.02 x Demand for an annual printing of this particular product. The fixed costs per year (ie., per printing) = $46,000 and the variable cost per unit=$40. What is the maximum profit that can be achieved? What is the unit price at this point of optimal demand? Demand is not expected to be more than 3,000 units per year. The maximum profit that can be achieved is $. (Round to the nearest dollar.) The unit price at the point of optimal demand is $ per unit. (Round to the nearest cent.) Enter your answer in each of the answer boxes.Explain the technique of constrained optimization in relation to utility functions and how it relates to consumer equilibrium.
- ATV is a price-setting firm and estimates the demand for its cement using a demand function in the linear form: Q = f( P, M, PR) where Qc = demand for cement/month (in yards) Pc = the price of cement per yard, M = country’s tax revenues per capita, and PR = the price of asphalt per yard. DEPENDENT VARIABLE Qc R- SQUARE P- VALUE ON F 64 0.8093 0.0001 INDEPENDENTVARIABLE PARAMETER ESTIMATE STANDARD ERROR T-RATIO P-VALUE INTERCEPT 8.20 4.01 2.04 0.0461 PC -3.54 1.64 -2.16 0.0357 M 0.64287 0.19 3.38 0.0014 PA 0.7854 0.38 2.07 0.0439 10. Write the resulting regression equation.Revenue The Better Baby Buggy Co. has just come out with a new model, the Turbo. The market research department predicts that the demand equation for Turbos is given by q = -3p + 312, where 9 is the number of buggies the company can sell in a month if the price is $p per buggy. At what price (in dollars) should it sell the buggies to get the largest revenue? p = $ What is the largest monthly revenue (in dollars)? $Suppose Samsunk sells her tablet computers at a price of $3,000. Estimates show that the manufacturing cost of each tablet computer constant at $900. i. Calculate the Lerner Index of Samsunk on her tablet computers.
- Could someone explain the easy way to find the partial derivative in these problems? Suppose the demand equation is: Q = 120 - 0.75p. What is the price elasticity of demand if the price is $60 per unit and output is 75 units? The price elasticity of demand is (Enter a numeric response using a real number rounded to two decimal places.)Mattel has conducted studies to determine the best price to set for their Barbie doll figures. Based on data received through these studies, it was calculated that Mattel could sell 3,000 Barbie dolls at a set price of $17.99. However, it was also determined that if the price per doll was reduced to $9.99, they could sell an additional 2,000 Barbie dolls. Find the linear demand equation (price function, y) as a function of the quantity, x, sold.Ammongas´'s demand depends on many factors, but can be presented in simplified form as: P = 8,000,000 - 240,000 * Q, where “Q” are standard plants sold per. year. Make a graphic illustration of the P-function, where it applies that the price can not be negative and a negative number of plants can not be demanded. Then derive the TR function and the MR function mathematically.
- 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 $SEE MORE QUESTIONS
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