(Please give a clear and elaborate solution) A company determined that the price-demand and cost functions for selling x units of a certain product are given by p(x) = x2 − 10x + 3,600 and C(x) = x3 + 2,450, respectively, where p and C are in pesos. Find the marginal profit when 200 units of the product are sold.

Q: A cereal company has a cost function of C(x)=−1/4x2+12x+100 for producing x boxes of cereal. What is…

A: The formula to find the marginal cost (M.C) is,

Q: Company data suggest that the total cost of a certain flight is approximately C(x) = 120x – 0.38x +…

A: This is marginal cost finding question.  We can find the marginal cost by differentiating the…

Q: (1) The revenue for a product is R(x) = -0.004x² + 21x – 6200 and the cost is C(x) = 0.02x + 38, for…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: The marginal cost of a product can be thought of as the cost of producing one additional unit of…

A:

Q: A company can sell x units of a product when the price is p=D(x)=3.00−0.005x. The total production…

A:

Q: The total cost of manufacturing x units of Jichu figurines is given by C(x) =  100 x + 125000 + 1/2…

A:

Q: Cost, revenue, and profit are in dollars and x is the number of units.A firm knows that its marginal…

A:

Q: In general, the profit function is the difference between the revenue and cost functions, P(x) =…

A:

Q: The marginal cost of producing the xth box of CDs is 30 + x + (1/x2)   The total cost to produce…

A: Given,            The marginal cost of producing the xth box of CDs is  30+x+1x2.            The…

Q: Eyeglasslux is a single-price monopolist in the eye-glass frame market. It faces a Market demand…

A: The profit is maximized where the MR = MC.The monopoly has market power and thus, firm in monopoly…

Q: P(X)= 5x-0.005X2- 450  Evaluate the marginal profit at the given values of x  X= 450

A: Given:

Q: The profit function for x units produced and sold is given by P(x) = -x2 + 48x - 210.  Determine the…

A: Find derivative of the polynomial with respect to x

Q: The marginal cost of producing the xth box of DVDS is 9 + and the fixed cost is $100,000. Find the…

A:

Q: manufacturer believes that the cost function C(x) = 3/2 x^2 + 72x +860 approximates the dollar cost…

A: MC=dC(x) /dx

Q: A fertilizer producer finds that it can sell its product at a price of p per unit when it produces x…

A:

Q: 6. The production costs, in dollars, per month of producing x widgets is given by, 8, 000, 000 C (x)…

A: The given cost function,C(x)=10,000+14x-8,000,000x2

Q: A company finds that the total cost of manufacturing x units of a certain product is given by C(r)=…

A: Do the problem as shown below is differentiation to formulate your answer.

Q: The supply function of a form is given as p=x^2+4x+5. Find the Producer’s Surplus given that the…

A:

Q: IV. A small business determined that the price-demand and cost functions for producing and selling x…

A:

Q: (1) The revenue for a product is R(x) = -0.004x² + 21x cost is C(x) (a) Find the marginal profit for…

A: Calculate profit function  Profit function is the difference between revenue function and cost…

Q: 3. The cost (in pesos) of producing x toys is given by 1.5x? + 200x + 4000, whi price (in pesos) of…

A:

Q: The demand equation for handarafted violins by a certain violin maker can be approximated by p= 21…

A:

Q: A tire manufacturer estimates that the demand function for their radial tires will be given by P =…

A:

Q: A small tie shop finds that at a sales level of x ties per day its marginal profit is MP(x) dollars…

A: Given:  A small tie shop finds that at a sales level of x tiles per day its marginal profit is MPx…

Q: Find the break-even point for the firm whose cost function C and revenue function R are given. C(x)…

A:

Q: 1) The revenue for a product is R(x) = -0.004x² + 21x ost is C(x) = 0.02x + 38, for x units produced…

A: According to our company policy we can answer only first question and rest can be reposted

Q: If the marginal cost for a product is  MC = 2x + 3  and the production of 10 units results in a…

A: Given data:     The given expression for the marginal cost is: MC=2x+3 The cost of production of 10…

Q: 4. The price-demand equation and the cost function for the production of 4K Tv's are given…

A:

Q: 1, Find the equilibrium point for the supply and demand functions below. Enter your answer as an…

A: we know that  the point where the demand and supply curve cross is called the equilibrium point  As…

Q: 2. An oil company sells 150-liter barrels at $100 each. The company estimates that for a given year…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: manufacturer believes that the cost function C(x)=52x^2+125x+500  approximates the dollar cost of…

A: Cost function is givenC(x)=52x2+125x+500& marginal cost is $315to final no of unit & total…

Q: A piano manufacturer has a daily fixed cost of $1,700 and a marginal cost of $1,900 per piano. Find…

A: A variable cost is a corporate expense that changes in proportion to how much a company produces or…

Q: The total cost of MARG INAL ANALYSIS producing x units of a certain commodity is given by C(x) = V5x…

A: The total cost is given by the equation where is the number of units. The marginal cost is…

Q: Cost, revenue, and profit are in dollars and x is the number of units. A firm knows that its…

A: Given data: The given marginal cost is MC=2x+25. The given marginal revenue is MR=55-4x. The cost of…

Q: the marginal cost function, IN DOLLAR PER ITEM, FOR PRODUCING THE X TH ITEM IF A CERTAIN BRAND OF…

A:

Q: The daily cost per unit of producing a product by the Ace Company is 25 + 0.5x dollars and the price…

A: To find the maximum daily profit the Ace company can expect on the given product, when given the…

Q: A company finds that the total cost of manufacturing x units of a certain product is given by C(x) =…

A: Given,Total Cost : C(x)=12x2+100x+125000 pesos

Q: The daily demand price function of selling x units of a product is given by p 100-4x. What is the…

A:

Q: A coffee production company stores its coffee beans in 60-kg sacks. The cost, in dollars, of…

A: Given: C(x)=1200+3x-0.01x2+0.00007x31) Marginal cost of the function is the derivative of C(x).…

Q: 3) An air conditioning company determines that the marginal cost, in dollars, for producing the xth…

A:

Q: 5. The production costs, in dollars, per day of producing x widgets is given by, C (x) = 400 – 3x +…

A:

Q: The daily cost per unit of producing a product by the Ace Company is 15 + 0.1x dollars and the price…

A: Given:

Q: Please provide complete solutions. The cost (in pesos) of producing x corkboards is given by x^2 +…

A:

Q: Help me please

A: By using integration.

Q: The cost, in dollars, of producing x yards of a certain fabric is C(x) = 1500 + 13x – 0.1x² +…

A: You need to round your answer to four decimal places.   In last two answers you have written it to…

Q: Pearl Ltd. intends to manufacture and market vegetable crates. Their research department has derived…

A: Pearl Ltd. intends to manufacture and market vegetable crates. Their research department has derived…

Q: The marginal cost of a product can be thought of as the cost of producing one additional unit of…

A: C(x) =x2-140x+8400 Differentiate both sides wrt C’(x) =2x-140 For critical paints x’x=0 2x-140 =0…

Q: A company produces motorcycles. The cost of producing x motorcycles per month is given by…

A: Sol:  We know that marginal Ust is equal to the derivative of cost function Given Cost function C(x)…

Q: The cost function, in dollars, of a company that manufactures food processors is given by C(x) = 194…

A: For the last part of the question : Given:  To find: the actual cost of manufacturing the 13th food…