5. Company A plans to market a new product. The marketing department has determined that the demand for these products is p: -0.05x + 620, 0sxs 30,000, where p denotes the product's unit price (in dollars) and x denotes the quantity demanded. Also, the company estimates that the total cost (in dollars) incurred in manufacturing x products per year of production will be C(x) = 100x + 710,000. Find the marginal revenue function and the marginal profit function.

Q: Company X has a fixed expenses of 1.38M monthly and each units is produced at ₱20. Company Y has a…

A: Total cost is equal to the sum of fixed expenses and variable cost. Variable cost is equal to the…

Q: Indahkiat has a daily budget of 320 hours of labor and 350 units of raw material manufacture two…

A: Given,       Given, The model is         Max z= 10x1+12x2-2x3subject to         x1+2x2-x3≤320…

Q: manufacturer of lighting fixtures has daily production costs of C = 800 - 30x + 0.75x^2, where C is…

A: Given query is to find the value of x for minimum cost.

Q: A manufacturer of lighting fixtures has daily production costs of  C = 800 − 50x + 0.25x2,  where C…

A: For finding minimum of any function take derivative and equate to zero.

Q: 9. Suppose you sell Dried Chile Mangoes and Biscochitos, each by the pound. Your profit function is…

A: Let x represents the pounds of chile mangoes sold and y represents the pounds of biscochitos sold.…

Q: 3. A farmer applies x tons of fertilizer and y tons of pesticide to a crop, the yiled will be f(x,…

A:

Q: A company operates two plants which manufacture the same item and whose total cost functions are C1…

A: Givne that  The total cost functions  And price  To maximize the profit  To find q1 and q2

Q: In a certain factory, there are two tanks used to mix brine (also known as salt water). Tai 10…

A:

Q: Find the number of units x that produces the minimum average cost per unit C in the given equation.…

A: C=0.02x3+58x2+1455 the average cost function is given by  C¯=Cx C¯=0.02x3+58x2+1455x…

Q: The Orange Corporation has a new product, Alpha, it is planning to launch. Market research has led…

A: We have to find profit.

Q: 12) A manufacturer has determined that the total cost C of operating a factory is C= 3x² + 70x +…

A: We have given: The total cost C(x) = 3x2 + 70x + 2700, where x is the number of units produced.

Q: Suppose the production function for an airframe is Q = LK (Quantity = labor x capital) The price of…

A:

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: A manufacturing company has developed a cost model, C(x) = 0.15x3 + 0.01x² + 2r + 120, where x is…

A: Given that:                      Cost function, C(x)=0.15x3+0.01x2+2x+120Sale Price function,…

Q: 8. The total daily revenue ($) that Weston Publishing realizes in publishing and selling its…

A: Given

Q: Suppose a company has fixed costs of $57,600 and variable costs of 4 9 x + 222 dollars per unit,…

A:

Q: A company operates two plants which manufacture the same item and whose total cost functions are C =…

A: We have to find how much should each plant produce in order to maximize the company's profit.

Q: n this problem, p is in dollars and x is the number of units. Find the producer's surplus at market…

A: GivenDemand functionp = 196 − x2Supply functionp = x2 + 12x + 182where p is in dollars and x is the…

Q: A firms production function is  π = 4x+8y-3x2-2xy-3y2 and it maximum output capacity 2x+y=15 What…

A: Given that the firm production function is P=4x+8y-3x2-2xy-3y2. Further its maximum output capacity…

Q: 5. Consider the following model of a competitive labour market where both firms and workers have…

A:

Q: 4) Suppose the cost of producing x items is given by C(x) 4000 - x3 and the revenue made on the sale…

A: Consider the given question,The breakeven point occurs where profit is zero or when revenue equal to…

Q: a certain company, the cost function for producing x items is C(x)=50x+200 and the revenue function…

A: Cost function for producing x items is given by- C(x)=50x+200 Revenue function for selling x items…

Q: The total cost of  producing 1 unit of a product is given by C(x,y)=30+10x2+20y-xy dollars Where x…

A:

Q: A manufacturer of two products (Widgets and Gadgets) makes a profit of $110 for each widget sold and…

A:

Q: If a small country with a demand of P= 80 - 2Q and a supply of P = 40 + 2Q decides to provide an…

A: We can rewrite the demand and supply equations in terms of P.  So our demand equation becomes Q =…

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

A:

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: France can produce either 50 units of cheese or 80 units of wine per hour. Canada can produce either…

A: We have, Canada will produce cheese, as it has comparative advantage and converts cheese for wine.…

Q: You are considering opening a book store near the campus, and you have begun an analysis of the…

A: I will assume here that  only cases about the expected value ofhis project  and doesn't mind risk…

Q: Find the producers’ surplus if the supply function for pork bellies is given (in dollars) byS(q) =…

A: Given, Sq=q52+2q32+50q=16

Q: 3. A farmer applies x tons of fertilizer and y tons of pesticide to a crop, the yiled will be f(x,…

A:

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

A:

Q: An offshore oil well located at a point W that is 5 km from the closest point A on a straight…

A: Make a diagram using the given statements Now we find the cost function   cost of laying…

Q: Find the producer's surplus at market equilibrium for a product if its demand function is p = 169 −…

A:

Q: 1. The total monthly income of a nursery for the care of x children is given by r = 450x, and its…

A: Given :-  The total monthly income of a nursery for the care of x children is given by  r = 450 x…

Q: The current situation of ABC company is as follows: Variable costs are 82% of sales and fixed costs…

A: Given: Variable costs are 82% of sales. fixed costs are $44000

Q: A car manufacturer estimated that the cost of production of "x" cars of a certain model is C = 20x –…

A:

Q: A firm manufactures a commodity at two different factories, Factory X and Factory Y. The total cost…

A: A)

Q: Max's total profit (in dollars) from manufacturing and selling x units of their model M loudspeaker…

A: Answer

Q: 2. A small generator burns two types of fuel: low sulfur and high sulfur to produce electricity. For…

A: The following steps are used to find the solution of the linear programming problem by graphical…

Q: The CMO of ABC Company presumed that the demand for a Product Y can be modeled by p=80-0.01y where p…

A: Given, Price per unit = p= 80 -0.01y  No. of units = y  Cost of producing y units = C = 6000…

Q: 6. Suppose a certain commodity has supply equation p 8x+25 and demand equation p=-x- 2x+100, where x…

A: 6. Given: Where x is the quantity measured in thousands of units.

Q: Heinrich is a manufacturing engineer with the Miller Company. He has determined the costs of…

A:

Q: 14. Let tank X, initially has 100 gallons of brine made with 100 pounds of salt. Tank X2 initially…

A:

Q: division of Ditton Industries manufactures the Futura model microwave. The daily cost (in dollars)…

A:

Q: (c) Solve (a) by applying Gauss-Jordan elimination method. (d) Using the result obtained in (c),…

A:

Q: d) A company produces two products. After considering all cost, the company profit (in RM) is given…

A:

Q: A manufacturer is planning to sell a total of 500 machines to both foreign and domestic firms. The…

A: As per the question we are given a optimization (maximizing) problem, where we have to find the…

Q: Suppose a company has fixed costs of $57,600 and variable costs of 4 9 x + 222 dollars per unit,…

A: Given that, Fixed cost =$57600 Variable cost =49x+222 Selling price =2054-59x

Q: units to the warehouse A is 2x^2 euro, the shipping cost of y units to the warehouse B is 3y^2 euro.…

A: Let the firm ships x unit type A and y unit of type B .Then x+y=100Shipping cost :-  2x2+3y2…