A manufacturer of doors, windows, and cabinets writes her yearly profit (in thousands of dollars) foreach category in 248 a vector as: P= 319 532 40 Her fixed costs of production can be described by the vector:C- 60 30 What would her income bif increasing it threefold would cause her profit to be fice times as larger 513; 02 421; 43 623 907; 1 542 542 427; 2 513;02 007; 13 427:02 542:03 907 623.r 421; 23 513
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A: Given:TC=25000+65DP=105-0.005DNow,TR=P×DTR=(105-0.005D)×DTR=105D-0.005D2
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- Question Two: The following data for a small farm operating in a perfectly competitive market are given in the table below. The price is $10 per yogurt. Q TC 100 10 200 20 280 30 330 40 360 50 380 60 390 70 425 80 500 90 610 100 750 Instructions: 1. What is the firm's decision at that price? (whether to produce or to shutdown), justify your answer. 2. Show the range of output at which the firm experience IMR and DMR. 3. Using excel, now suppose the price of strawberry yoghurt decreases to $5.5 per unit, what is the right decision firm should take, (produce or shutdown) justify your answer.Break-Even The total revenue function for Frenchdoor refrigerators is given by R = 550x dollars, andthe total cost function for this same product is givenby C = 10,000 + 30x + x2, where C is measured indollars. For both functions, the input x is the numberof refrigerators produced and sold.a. Form the profit function for the refrigerators fromthe two given functions. b. What is the profit when 18 refrigerators areproduced and sold?c. What is the profit when 32 refrigerators areproduced and sold?d. How many refrigerators must be sold to breakeven on this product?You'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
- 920 it bait of 289301 Sindspis ON SEU pilkupeni A30S AO +32 monulo2 An economist for a sporting goods company estimates the revenue and Cost functions for the production of a new snowboard. These Functions are R(x) = -x ² +10x and ((x) = 4x+5, respectively, where x is the number of Snowboard's produced in thousands. The average profit is defined by the function AP(x) = P(x), where pox) is the profit function & Determine the production levels that make AP(x) > 0 P-xdA 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?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?
- 1. Suppose Firm A has a budget of P1.5 million pesos in outsourcinginputs, labor and machines, that would lend support in its 1 yearoperation. Suppose further that the cost of labor for 1 year is P150,000and for a machine is P200,000. If it decides to hire 6 laborers, howmany machines would it accept?Remaining Time: 01:34 23 Suppose a fiem's total variable costs are given by TVC(9) -3 g, and it has a fixed cost of 787 of which 507 is avonidatle, We want to find the firm's Bupply Lets finst find the minimum of the average variable and avoidable costa. This will allow us to find the price below which the firm wil not produce. Remember for decisionmaking only the avoidatble fixed cost matter. This occurs are The price at which the firm just breaks even is P= The firm's supply, then is q for PS 国助nd for P> Please give the supply in terms of upper case P and please use fractions.QUESTION 14 Suppose a busness owner operates her business out of a building that she owns. Also assume that there are ho malntenance or utlity costs associated with the building This means that it is costless for the business owner to use the buildng to operate the business O True O False QUESTION 15 if the 15th unit of output has a marginal cost of s29.50 and the average total cost of producing 14 units of output is 3021 what will happen to the average total cost is the 15th unit is produced? O Average Total Cost will fal. O Average Total Cost will increase O Average Totual Cost could increase or decrease deperiding on whar happets to variable cost O Average Total Cost could inorease or decrease depending.on what happens to fed cost
- 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?The Calhoun Textile Mill is in the process of deciding on a production schedule. It wishesto know how to weave the various fabrics it will produce during the coming quarter. Thesales department has confirmed orders for each of the 15 fabrics produced by Calhoun.These demands are given in the following table. Also given in this table is the variablecost for each fabric. The mill operates continuously during the quarter: 13 weeks, 7 daysa week, and 24 hours a day.There are two types of looms: dobbie and regular. Dobbie looms can be used to makeall fabrics and are the only looms that can weave certain fabrics, such as plaids. The rateof production for each fabric on each type of loom is also given in the table. Note that ifthe production rate is zero, the fabric cannot be woven on that type of loom. Also, if afabric can be woven on each type of loom, then the production rates are equal. Calhounhas 90 regular looms and 15 dobbie looms. For this problem, assume the time requirementto change…The total cost of Mr. Plow, a snow-removal business, is given in the table below. Quantity adriveways cleared) Abbreviation Formula: Total Revenue TR Total Cost TC $0 $25 20 30 40 50 60 70 80 34 41 46 49 51 54 60 70 95 145 10 100 What is the total profit of cleaning five driveways if the price Mr. Plow can charge is $10 per driveway? s 01/21 VIEW sOLUTION O OF 21QUESTIONS COMPLETED 28 MacBook Pro 59