c) What is the loss the company incurs when it tries to maximize sales (that---is, produce the maximum possible output) so as to capture a large shareof the market for engineering goods? An engineering firm recently estimated its total revenue function asTR = 300q - 6q²and its total costs asTC = 4q².

Find out the loss the company when it tries to maximize the sales.

Answered: c) What is the loss the company incurs…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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8. (a) A gardener wants to fence in an area of 8100 square feet in a rectangular plot and then divide it in half with a fence that is parallel to one of the sides of the rectangle. The fence for the outer perimeter of the plot costs $2 per linear foot, and the dividing fence costs $5 per linear foot. Determine the lengths of the sides of the plot for which the total fencing cost is minimum. [Remember that the solution of an applied problem is the entire presentation not just an answer.] (b) In the problem in (a), suppose that there is a restriction that the dividing fence can be at most 30 feet in length. How does the problem change, and give the dimensions that minimize the cost with this extra restriction.
3. A manager sells 75 cakes per week at 650 pesos each and he knows that for every 10 pesos increase in the price of cake, he loses a customer. Find the price such that he is able to maximize his weekly revenue.
© Jनर्जे्ट x2 (2) dx V49-x2
A, B, C Please
13) Z-Salon profits $12 on each manicure and $18 per haircut. A manicure takes 30 minutes and a haircut takes 50 minutes. There are 5 stylists who each work 6 hours per day (that is a total of 360 min x 5 = 1800 minutes in available labor). The salon can schedule 50 appointments per day. How many manicures and how many haircuts should be scheduled each day in order order to maximize profit? What is the maximum profit? Let’s get you started. Let x = number of manicures Let y = number of haircuts OBJECTIVE The objective (goal) is to maximize profit, P. So the objective equation is P = ______________________________________________ objective equation CONSTRAINTS: 1) 2) 3) 4) Now graph the above system of inequalities (constraints) on your graph paper: Find all vertices (corner points) of your shaded region. Plug them in one at a time into the objective. Note the one which makes P the biggest. This one is our solution. Corner Pt (x,y)…
1. Due to the quarantine, the demand for NineTendo On/Off console suddenly peaked and is expected to have the following demands for the next four quarters: 5million, 7million, 4million, and 5million units, respectively. The unit price starts at 20,000 and increase by 1,000 each quarter thereafter. The company Nine Tendo can supply no more than 7million units in any one quarter. Although, we can take advantage of lower prices in early quarters, a storage cost of 2,800 is incurred per unit per quarter. In addition, the number of units that can be held over from one quarter to the next must be 1.4million or less. Develop an LP to determine the schedule for purchasing the item to meet the demand while minimizing the cost.
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14. If each unit of the product can be sold at a price of $5 and incurs variable costs which are constant at $3 per unit, and if the fixed costs already incurred are $15,000, then the number of units to break-even is: А. 15,000 units В. 3,000 units С. 5,000 units D. 7,500 units
A firm faces the following total revenue and total cost functions: TR = 150 - 0.20² and TC = 60 + 0.1Q + 0.05Q². Determine the profit maximising level of output. 39.8 19.8 20.8 29.8
A local electricity company produces and distributes electricity to residential customers. The firm is a monopoly and it is regulated such that p = MC. The firm faces the following demand function: p = 800 – 2g and its total cost function is: C = 22500 + 200g + q². a) Find the deadweight loss that would result if this company was allowed to operate as a profit maximizing firm, compared to the situation under regulation. b) Calculate the Lerner index of Monopoly Power at the profit maximizing point.
4. A metal fabrication shop has a single punch press. There are currently three parts that the shop has agreed to produce that require the press, and it appears that they will be supplying these parts well into the future. You may assume that the press is the critical resource for these parts, so that we need not worry about the interaction of the press with the other machines in the shop. The relevant information is listed below: Part Number Annual Demand Setup Cost ($) Cost per unit ($) Production Rate per year 1 2,500 80 16 45,000 2 3 5,500 120 18 40,000 1,450 60 22 26,000 Holding costs are based on an 18 percent annual interest rate, and the products are to be produced in sequence on a rotation cycle. Setup times can be considered negligible. a. What is the optimal time between setups for part number 1? b. What percentage of the time is the punch press idle, assuming an optimal rotation cycle policy?
(2) A retailer determines that the cost of ordering and storing units of a product can be modelled by

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c) What is the loss the company incurs when it tries to maximize sales (that is, produce the maximum possible output) so as to capture a large share of the market for engineering goods?