I value of Q-14 257 800 and that A- 35 600. How would the optimal value of Q change if the budget constraint rom 1200 to 1500? N: 3K+ 2L= (S00 one: Increase by 10 680 000 14257800 = K²L Increase by 10 300 000 Increase by 35 600 3. Decrease by 54 000 004
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- The manager of the donut shop tells you that hesells donuts for $1 each, and that if he were to makeadditional donuts, based on his current level ofoutput, it would cost him $0.80 per donut. Do yourecommend that the manager increase or decreasethe number of donuts he makes?Problem 6Cannes Croissants (not a real company) wishes to determine the optimum production quantity for its topselling product, almond croissants. The annual demandfor almond croissants is 12,000 units. The setup costs fora production run of the croissants is US$15. The holdingcost per unit per year is US$0.50. Production is mostefficient when 80 croissants are produced per day. Thecompany operates 300 days during a year.a What is the economic production quantity (EPQ)?b How many production runs will there by per year?c What is the maximum inventory level?d What is the total annual cost (in US dollars)?e What is the length of a production run in days?)A two Product finm faces the follow- = 40-2P1 demand and Cost function 8- a) Find the output levels that satiaty the 12 demand amd 40-2P,-P2 タ,=35-P、- 8 follow- ng Cont function8 32 Demand function. C%=8it 20+ 10 cost function. a) Find the output levels that sati. order Conditions ythe tor maximum profit. 6)check the 2nd (ondition. Can you conclude that this Problem Posses a Order for sufficient unique maximum) c)What in the maximal profit?
- QUI The figure below depicts the production function of grain for farmers under average growing conditions with the currently available Noi technology. Mar 9007 PF 800- 700- 600- 500- 400- 300- 200어 100- o Slope 732,000/ 1,600 = 458 04 400 800 1200 1600 2000 2400 2800 Number of farmers Select one or more: In a year with exceptionally good weather conditions, the production function curve will be higher and parallel to the curve O a. above. O b. A discovery of new high yielding crop seeds would tilt the production function curve higher anti-clockwise, pivoted at the origin. O C. In a year of bad drought the production curve can turn downwards for large numbers of farmers. O d. If there is an upper-limit on the amount of grain that can be produced, then the curve will end up horizontal for large number of farmers. S Type here to search 25 hp t4 15 16 eSC 5 6. 7. 00 %24 3. . ........ Kilogrammes of grain produced (thousands)function for the lightweight compasses is given by p = 40- 4q²where q is the number of lightweight compasses produced in millions. It costs the company $15 to make a lightweight compass. (i) Write an equation giving profit as a function of the number of lightweight compasses produced. (ii) At the moment the company produces 2 million lightweight compasses and makes a profit of $18,000,000, but you would like to reduce production. What smaller number of lightweight compasses could the company produce to yield the same profit? Type your answer here:Profit Suppose that the total weekly cost for theproduction and sale of x bicycles is C(x) = 23x +3420 dollars and that the total revenue is givenby R(x) = 89x dollars, where x is the number ofbicycles.a. Write the equation of the function that models theweekly profit from the production and sale of xbicycles.b. What is the profit on the production and sale of150 bicycles?c. Write the function that gives the average profit perbicycle.d. What is the average profit per bicycle if 150 areproduced and sold?
- A manufacturer produces bolts of a fabric with a fixed width. The quantityqof this fabric(measured in yards) that is sold is a function of the selling pricep(in dollars per yard), sowe can writeq=f(p). Then the total revenue earned with selling pricepisR(p)=pf(p).Course dashboard Soru 12 SCENARIO 1: You are the owner and the only employee of a company that writes computer software that is used by gamblers to collect sports data. Last year you earned a total revenue Henüz cevaplanmadı of $90,000. Your costs for equipment, rent, and supplies were $60,000. To start this business 4 üzerinden you invested an amount of your own capital that could pay you a return of $40,000 a year işaretlenmiş Refer to Scenario 1. Your economic profit last year was P Soruyu işaretle Lütfen birini seçin: O A. - $ 10000 O B. $ 30000 O C -$ 30000 O D.-$ 40000 O E$10000 SONRAKİ SAYFA ÖNCEKİ SAYFAsuppose the Total Revenue function for a product is given by R(x)=V0•1x+0-2x² (R-4,x--u) a) Find the Rate of change in Tota) Revenue or Morginal Revenue . a) b) Find Margina) Revenue nhen x=4 units are sold and slate nhatitpredicts for the sale of the next unit c) Firid the Actual change in To tol Revenue uhen productm Level is ingeased from 4 to 5 units di Esplainany discreponcy hetncen parls (1) and (c)resuHs mathemohie ally / Graphically d)
- ) A company manufacturing laundry sinks has fixed costs of $100 per day but has totalcosts of $2,500 per day when producing 15 sinks. The company has a daily demand functionof q = 360 − p, where q is the number if laundry sinks demanded and p is te price ofa laundry sink. Find a function for the average cost of this company. (c) If production increases continuously, what is likely to be the average cost per sink? (d) How many laundry sinks will the company need to produce in order to maximise it′s profits? (e) What is the maximum profit?o Suppore : E (1,k) = metat for thois question.) has Ext. (Do not' wee fonction languan jian the ® Suppre the of, capital š price f laber is $3 and the price 2. Find, the aptimad imput combination ct, k*) to prefuce iš umits. What is the reralting minimized' cost? O Re do pant ☺ but this time, (3,2, or of, labor and the firm poodue s' y unita. Frmd the op timal C and kt solutione fumetine. Jon't use numbes we 5); we leave them open. Sugou tha price fw, Hhe price of capital is r fumitims of (w, riy). Te londi tional as Hhe factor druand © Find Hais fiym cost minimised cont depand funtion. (iHoo donr the (w,r;y)? O Follming pant 6, check of the condinl fautor Jemand fuie fien s (w,r). homay wns of degue o in O Following part (6), check is hompyeonan' of 'deguee 1 in '(w,r). the rost fawr ineA manufacturer produces bolts of a fabric with a fixed width. The quantity q of this fabric (measured in yards) that is sold is a function of the selling price p (in dollars per yard), so we can write q = f(p). Then the total revenue earned with selling price p is R(p) = pf(p). (a) What does it mean to say that f(30) = 10,000? o When the price of fabric is $30/yard, 300 yards will be sold. When the price of fabric is $30/yard, 10,000 yards will be sold. There are 300 total yards of fabric and $30 to spend on it. There are 10,000 total yards of fabric and $300 to spend on it. o When the price of fabric is $300/yard, 30 yards will be sold. What does it mean to say that f (30) = -300? o As the price of the fabric increases past $30/yard, the amount of fabric which will be sold is decreasing at a rate of 300 yards per (dollar per yard). As the price of the fabric decreases past $ 300/yard, the amount of fabric which will be sold is decreasing at a rate of $10,000 per (dollar per yard). As…
