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- 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?SuProse a liim hus revenue R=15t- 5q2 und (Ost (= 93-13.5e+ 50+ 40. Make a sketch of average Variable cOst, marginal (ost and maigina fevenue.A toy manufacturer makes miniature trucks. The pricep(in dollar) and the demandx(numberof miniature trucks) are related by the equation 6000−600p=x. The total cost for the sametoy manufacturer to producexminiature trucks can be modeled byC(x) = 8x+ 450.(a) (10 points) Express the pricepin terms of the demandx. Find the revenueR(x) if themanufacturer sellsxminiature trucks in a month and find the domain of this function.(b) (10 points) Graph the cost and revenue functions on the same coordinate system for 0≤x≤6000.(c) (10 points) What is the minimum number of trucks the toy manufacturer must sell tobreak even?(d) (10 points) FindP′(300) and interpret the result.(e) (10 points) What is the exact profit from the sale of the 301stminiature truck?
- Prce per botie (S) The diagram to your right describes the per unit costs and revenues related to the monopoly firm NutriPowder Inc. NutriPowder Inc manufactures and sels a new food powder called NuriPowder that provides the consumer with all the essential nutnents and yet helps the consumer treduce his or her woight significantly Using the rectange drawing tool, draw the area that represents the weekly maximum total prote eamed by manufacturing and selling NutnPowder. Label it Profr. Note: if you are not prompted for a label then you have used the wrong drawing tool MC to ATC 41 20 112 MR 20 Quantity (Hundeds of bottes per week)Co. XYZ manufactures a productand sells it for $8 per unit. Her fixedcosts are $5,000 and her variablecost per unit is given by the equationCalculate the equilibrium quantity qalgebraically. 2.444 (X)-2200 A. (q-800) B. q=900 C. (q 650) D. None of the above In the previous problem (27), calculate the amount ofequilibrium Total Income. A. 4,500 B.$3,000 C. $7,200 D. $9,000 In the above problem (27), calculate thebreak-even Total Cost amount. A. 4,500 B. $3,000 C. $9,200 D. 7,200 In the previous problem (27)determine the profit when q-1800.modes of A. $4,500 B. 5,000 C.$6,000 D. 7,000 In the previous problem (27), determine the gain when q-450. A. $2,500 B. -$2,500 C.$6,000 D. -$4,500 In the aboveproblem (27), find the required output (q), to make a profit of$10,000. A. 3,000 B. 4,000 C. 2,500D. 2,700Profit Analysis Unendo, is a large computer game manufacturer. They have estimated that the demand function for their game "Star Wars Battlefront III" is as follows... STAR WARE BATTLEFRONT p = 86 - 0.05q where p is the price of a game and q is the number of game produced and sold per week. They estimate that their cost function in dollars is ... Clq) = 179 + 5000; where the fixed cost is $5000 and the marginal cost is $17 per game Unendo wishes to maximize the weekly profit of producing and selling the game. Find the maximum profit they can earn. (Round your answer to 2 decimal places, if necessary)
- Profit Analysis Unendo, is a large computer game manufacturer. CALL DUTY WWII They have estimated that the demand function for their game "Call of Duty: WWIII" is as follows ... p = 82 - 0.05q; where p is the price of a game and q is the number of game produced and sold per week. They estimate that their cost function in dollars is ... C(q) = 22g + 5000; where the fixed cost is $5000 and the marginal cost is $22 per game Unendo wishes to maximize the weekly profit of producing and selling the game. Find the price, p, per game that generates maximum profit. (Round vour answer to 2. decimal places if necessarv). 8.Sdue prdolems the OPTIMI2AION the commodity is given by p=41-0.339 aned in verse demand function for a the cost of thot commodity is ecq) = -0.02 q² +10qt80 - Find the autput level that Find the maximum potit as wet. producing maximizes protit andd verity this indeeed yields a mowimum.I'll give you multiple uovote..hand written plz
- 39. Which one is expected to be the larger amountthe amount of cereal consumed by a member in a hotel varies directly as their number if 900k of cereal are needed in a month by 50 members. how many members will be need 2610kg of cerealYou're company manufactures on large scale unit and it has been shown that marginal or variable cost are given by this function (92-2x)sh where xis the number of units of output per annum the fixed costs are 800000 annually, it has also been shown that the marginal revenue which is the gradient ot the total revenue is given by (112-2x) ... required determine by integration the total cost, the total revenue , the break even point of your company and the number of units of output that would maximise total revenue