Example 74 the total cost of a firm is: C (x) = x' - 5x? + 30x + 10, where C is the 3 total cost and x is the output, and price under pure competition is given as 6, find for what value of x the profit will be maximized? Examine both first and second order conditions.

Q: A fertilizer producer finds that it can sell its product at a price of p = 2000 – 0.4x dollars per…

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Q: A firm has an average cost function A(q)= 125/q + q2/16 - 4. where q is the firm′s output. (iii)…

A: Given average cost function is Aq=125q+q216-4. To find the output where average costs are minimum ,…

Q: The population dynamics of many fish species (such as salmon) can be described by the Ricker curve:…

A: Solve by using condition of Maxima.

Q: p = 5. Under pure competition 8. - 2 x +1 x +3 p = 2 and ; determine the consumers' surplus and…

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Q: A firm has an average cost function A(q) = 125/q +q2/16 -4 where q is the firm's output…

A: Consider the provided question,

Q: A manufacturer of skis produces two types: downhill and cross-country. The times required for…

A: From the given data Let x be the number of down hill ski and y be the number of  cross country ski.…

Q: iv. Determine the level of output for which the firm's profit is maximized. v. What is the firms's…

A: d) Find the first and second derivative using the power rule

Q: Bus Econ 2.5.23 Find the maximum profit and the number of units that must be produced and ssold in…

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Q: 4. RockHard Productions holds weekly events in an arena with a seating capacity of 15 000…

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Q: A manufacturer of skis produces two types: downhill and cross-country. The times required for…

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Q: A wheat farmer is converting to corn because he believes that com is a more lucrative crop. It is…

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Q: A firm produces a product that has the production cost function C(x) = 420x + 14,420 and the revenue…

A:

Q: 5 x 500, p 4 - In(x) where x is the number of hot dogs (in thousands) that can be sold during one…

A: Given a function

Q: A manufacturer of wool roving has determined that the highest price per unit that can d to sell q…

A: we have been given the price function  p=50 - 0.25q and also we have a cost function C(q) = 100+5q2…

Q: 4) Value of gold bar is V=2500 evt and interest rate r=0.07 please find the optimal value of t to…

A: We have to find the optimal value of t to maximize the present value.

Q: A company manufactures running shoes and basketball shoes. The total revenue (in thousands of…

A: We have to maximize revenue.

Q: A bookstore can obtain a certain novel from the publisher at a cost of $3 per book. The bookstore…

A:

Q: 2. A rancher faces the profit function =1100, -30-20, +1400, - 200, where Qu = side of beef and Q, =…

A: Given: Profit function  π=110Q1 -3Q12-2Q22 +140Q2 -2Q1Q2Where Q1=2Q2 To find : (a), (b)

Q: 4. The profit function of Firm GG is n=-2q2+280q. What is the profit maximizing quantity?What is the…

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Q: 3. A chemical manufacturer sells sulfuric acid in bulk at a price of $100 per unit. If the daily…

A: We will use derivative here to solve the problem. Profit is selling minus cost price. Take the first…

Q: 2. A construction company has to sell at least 60 from one type of equipment(E1) and can be sold…

A: Given that A construction company has two types of equipment. Number of equipment to be sold by the…

Q: A fertilizer producer finds that it can sell its product at a price of p = 300 − 0.1x dollars per…

A: Given,          Price per unit  p=300-0.1xand  the Total production cost forf x units is…

Q: (i)Construct the LP model to maximize profit. (ii) Obtain the optimum solution graphically by…

A: according to given condition, we have     M1 M2   x P1 2 hr 1 hr 5 y P2 1 hr 3 hr 6 Max   8…

Q: A manufacturer of lightweight tents makes two models whose specifications are given in the following…

A: Let the x denotes the number of Model A lightweight tens and y denotes the number of Model B…

Q: A firms production function is Q(L) = 15Ľ - 0.1L , where output (Q) is a function of a single input…

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Q: Wutz UpDogs chose a particular football stadium to test market a new jumbo hot dog. It was found…

A: Given that x denotes the number of hot dogs sold during one game in thousands and p denotes the…

Q: A fertilizer producer finds that it can sell its product at a price of p 300– 0.1r dollars per unit…

A: It is given that, total cost for x units, C(x)=15000-125x+0.025x2 price per unit is, p(x)=300-0.1x…

Q: (3) A firms production function is Q(L) =15L -0.12', where output (Q) is a function of a single…

A: The given function of production is: Q(L)=15L2-0.1L3 where L is labour (number of workers).

Q: A manufacturer of hospital supplies has a uniform annual demand for 180,000 boxes of bandages. It…

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Q: 7. A nutrition company produces and sells natural powdered supplements. The price-demand and cost…

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Q: 3) A company sells two different types of candles, and their profit function for a week is given by…

A: 3) Given that a company sells two different types of candles, and their profit function for a week…

Q: A company has $10,990 available per month for advertising. Newspaper ads cost $140 each and can't…

A: Given: A company has $10,990 available per month for advertising. Newspaper ads cost =  $140 each…

Q: 1. A company produces two colors of cloth, namely red and pink. In order to produce these colors, 2…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 24. Maximizing Profit Suppose r(x) = x/(x² + 1) represents revenue and c(x) = (x - 1)/3 – 1/3…

A: Consider the given Revenue function is  rx=x2x2+1   Cost function is  Cx=x-133-13 The profit is…

Q: In the above table, the production of 3 pizzas and 35 cases of soda is a. impossible unless more…

A: Demand Pizzas = 3  Soda =35Supply Pizzas = 3  Soda =60

Q: (ii) A company operates 17 oil wells in a designated area. Each pump, on average, extracts 600…

A: We will use concept of maxima and minima to find the answer.

Q: A corporation manufactures candles at two locations. The cost of producing x, units at location 1 is…

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Q: A 14-ton ship can carry four different types of cargo. The table below shows the weight in tons of…

A: A 14 ton ship carry four different types of cargo. The given details are, Types Load weight…

Q: herseys makes chocolate.  the old way  6gm sugar and 3 gm chocolate per liter. the new process uses…

A: There are two processes of making chocolates that are given in the problem. First is by using the…

Q: 1. A chartered cruise line offers a group rate of $400 per person if 100 people sign up. For each…

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Q: A bicycle manufacturer makes two models of bikes, a professional racing bike and a mountain bike.…

A: Assume that the manufacturer makes x racing bikes and y mountain bikes.

Q: 5) A factory owner has 100 employees that produce 6000 computers per day. For each additional…

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Q: We return to the Oculus Rift, a virtual reality headset that enables users to experience video games…

A: Fixed cost=$600,000 $50  to produce each headset.

Q: A company operates 16 oil wells in a designated area. Each pump, on aver- age, extracts 240 barrels…

A: The given data are: A company operates 16 oil wells in a designed area. on average age, extracts 240…

Q: An apple orchard has an average yield of 32 bushels of apples per tree if tree density is 20 trees…

A: An apple orchard has an average yield of 32 bushels of apples per tree if tree density is 20 trees…

Q: A firm produces a product that has the production cost function C(x) = 420x + 14,420 and the revenue…

A:

Q: A manufacturer of skis produces two types: downhill and cross-country. Use the following table to…

A: Here we solve the linear programming problem.

Q: 4. An apple orchard has an average yield of 36 bushels of apples per tree in the tree density is 22…

A:

Q: A manufacturer of lightweight tents makes two models whose specifications are given in the following…

A: A manufacturer of lightweight tents makes two models whose specifications are given in the following…