3) You run a small business that makes and sells widgets. Assume your daily rent and salaries total $50, and that the manufacturing cost is $3 for a widget. Let x be the nurmber of widgets you make and sell in a day. Let yl be the price that is charged in order to sell x widgets. Assume from past data you have computed the demand curve as y1= 40( 0.9) (+) 50 a) Write a formula for the cost function C= b) Write the revenue function R 9x c) Write a formula for the profit function y2 (do not multiply out or simplify in any way): (50+3 d) Write the derivative of y2! e) Using the derivative, what is the number of widgets you should sell daily to maximize your profit? | Show how you found this). Write your answer with 4 decimal places. f) What price do you charge your customers for a widget? Write your answer with 2 decimal places. e) How much is your daily profit? Write your answer with 2 decimal places.

3) You run a small business that makes and sells widgets. Assume your daily rent and salaries total $50, and that the manufacturing cost is $3 for a widget. Let x be the nurmber of widgets you make and sell in a day. Let yl be the price that is charged in order to sell x widgets. Assume from past data you have computed the demand curve as y1= 40( 0.9) (+) 50 a) Write a formula for the cost function C= b) Write the revenue function R 9x c) Write a formula for the profit function y2 (do not multiply out or simplify in any way): (50+3 d) Write the derivative of y2! e) Using the derivative, what is the number of widgets you should sell daily to maximize your profit? | Show how you found this). Write your answer with 4 decimal places. f) What price do you charge your customers for a widget? Write your answer with 2 decimal places. e) How much is your daily profit? Write your answer with 2 decimal places.

EBK HEALTH ECONOMICS AND POLICY

7th Edition

ISBN:9781337668279

Author:Henderson

Publisher:Henderson

Chapter2: Using Economics To Study Health Issues

Section: Chapter Questions

Problem 1QAP

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only typed answer Q1 Assume that the demand curve D(p) given below is the market demand for widgets: Q=D(p)=1291−14pQ=D(p)=1291-14p, p > 0 Let the market supply of widgets be given by: Q=S(p)=−5+10pQ=S(p)=-5+10p, p > 0 where p is the price and Q is the quantity. The functions D(p) and S(p) give the number of widgets demanded and supplied at a given price. What is the equilibrium price? Please round your answer to the nearest hundredth. What is the equilibrium quantity? Please round your answer to the nearest integer. What is the total revenue at equilibrium? Please round your answer to the nearest integer.
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)
Johnson's Household Products has a division that produces two types of toothpaste: a regular toothpaste and a whitening tooth paste. The demand equations that relate the prices, p and q (in dollars per thousand units), to the quantities demanded weekly, x and y (in units of a thousand), of the regular toothpaste and the whitening toothpaste are given by p=3000-20 x-10 yp=3000−20x−10y and q=4000-10 x-30 yq=4000−10x−30y respectively. The fixed cost attributed to the division is $20,000/week, and the cost for producing 1000 tubes of regular and 1000 tubes of whitening toothpaste is$400 and $500, respectively. a. What is the weekly total revenue function R(x, y)? b. What is the weekly total cost function C(x, y)? c. What is the weekly profit function P(x, y)? d. How many tubes of regular and whitening toothpaste should be produced weekly to maximize the division's profit? What is the maximum weekly profit?
The market demand for productXis given by: \[ Q_{d}=6-1 / 2 P \text { or } P d=12-2 Q \] The market supply for goodXis given by: \[ Q_{s}=-14+2 P \text { or } P s=7+1 / 2 Q \] whereP=price per unit andQis number of units. Draw a supply-and-demand graph with these curves. 1.) Using the line drawing tool, draw the supply and demand curves. Properly label your lines. 2.) Using the point drawing tool, plot the equilibrium point. Label your point 'E'. Note: Carefully follow the instructions above and only draw the required objects. The equilibrium price is$and the equilibrium quantity is unit(s). (Enter your responses as integers.) A per-unit excise tax is imposed on suppliers of productX, and the market supply with the tax is now given by: \[ Q_{s}=-19+2 P \text { or } P s=9.50+1 / 2 Q \] Using the graph on the right, show this supply curve. 1.) Using the line drawing tool, draw the new supply curve. Label your line 'S1+tax'.1. Note: Carefully follow the instructions above and only draw…
Currently, the demand equation for necklaces is Q = 30 – 4P. The current price is $10 per necklace. Is this the best price to charge in order to maximize revenues?* If $10 per necklace is not the best price, what is?* Explanation: Solve for the best price to charge in order to maximize revenues. Show any steps or processes used to reach the answer above. Explain your process as though you are teaching the concept to a student who is a beginner in economics.*
Considering, QDx = - 4Px -0.02R + 2Pz, and assuming that the individual's income (R) is equal to $600, and the price of the good z (Pz) equals $10, if the individual's income (R) reduce to $300, will the individual's demand for good x increase or decrease? CALCULATE and GRAPHICALLY ILLUSTRATE the behavior of demand for good x. Then inform what kind of property this is.
onsider the supply function: Qs = 60 + 5P – 12 PI + 10F , Where Qs = quantity supplied, P = price of the commodity, PI = price of a key input in the production process, and F = number of firms producing the commodity. Interpret the slope parameters on P, PI, and F. Derive the equation for the supply function when PI =$90 and F = 20. Sketch a graph of the supply function in part b. At what price does the supply curve intersect the price axis? Give an interpretation of the price intercept of this supply curve. Using the supply function from part b, calculate the quantity supplied when the price of the commodity is $300 and $500. Derive the inverse of the supply function in part b. using the inverse supply function; calculate the supply price for 680 units of the commodity. Give an interpretation of the supply price.
No written by hand solution Suppose that the market for video games is competitive with demand function Qd = 170 – 4p + 2Y + 3pm – 2pc, where Qd is the quantity demanded, p is the market price, Y is the monthly budget that an average consumer has available for entertainment, pm is the average price of a movie, and pc is the price of a controller that is required to play these games. Given that Y = $100, pm = $30 and pc = $30, use Excel to calculate quantity demanded for p = $10 to p = $80 in $5 increments. Using Excel’s spreadsheet Find Qd = ________ when P=$30. Find Qd = ________ when P=$45. Now, Y increases to $120. Re-calculate the demand schedule and find Qd = ________ when P=$20. Let Y = $100 again, but pm increases to $40. Re-calculate the demand schedule and find Qd = ________ when P=$25. Let Y = $100, pm = $30, and pc increases to $40. Re-calculate the demand schedule and find Qd = ________ when P=$50.
The following relations describe monthly demand and supply for a computer support service to small businesses: Qd=3000-10P Qs=-1000+10P whrer Q is the number of businesses that need services and P is the monthly fee, in dollars. a. at what average monthly fee would demand equal zero? b. at what average monthly fee would supply equal zero? c. plot the supply and demand curves. d. what is the equilibrium price/output level? e. Suppose demand increases and leads to a new demand curve: Qd = 3500 - 10P f. Suppose new suppliers enter the market due to the increase in demand so the new suply curve is Q=-500+10P. What are the new equilibrium price and equilibrium quantity? g. Show changes on the graph.
he cost of ingredients for a turkey sandwich at The Pit Room is $5, and the daily demand function for this sandwich is d(p) =1200 - 100p. What price should the seller charge to maximize its daily total contribution? Round your final answer to two decimal places.
Answer ASAP dont copy paste from other site Two goods brand A and brand B, have the following demand function: Qa = 800 - 0.09Pa2 + 0.08Pb2️Qb = 1500 + 0.04Pa2 - 0.03Pb2️Define:a. The elasticity of demand for each of these goodsb. The cross elasticity of demand for brand A against brand B.c. Determine the relationship between the demand for the product
Q.4. In a recent speech, the governor of your state announced: "One of the blggest causes of juvenile delinquency in this state is the high rate of unemployment among 16 to 19 year olds. The low wages offered by employers in the state have given fewer teenagers the incentive to find summer employment. Instead of working all summer, the way we used to, today's teenagers slack off and cause trouble. To address this problem, I propose to raise the state's minimum wage by $1.50 per hour. This will give teens the proper Incentive to go out and find meaningful employment when they are not in school." Evaluate the governor's plan to reduce juvenile delinquency.