Valencia Products make automobile radar detectors and assembles two models: LaserStop and SpeedBuster. Both models use the same electronic components. After reviewing the components required and the profit for each model, the firstfound the following linear optimization model for profit, where L is the number of LaserStop models produced and S is the number of SpeedBuster models produced. When the linear optimization model below was solved, it was found that themaximum profit was obtained by producing 0 LaserStop models and 454.55 SpeedBuster models for a profit of $61,818.80. Complete parts a through c.Maximize Profit125 L+136 S17 L+ 11 S≤50006L+8S≤4500L20 and S20a. Modify the data in the model to create a problem with alternative optimal solutions. Choose the correct model below.OA Maximize Profit=136 L+136 S11 L+11 Ss 50008 L+8 S≤4500L20 and 520(Component A)(Component B)C. Maximize Profit=125 L+136 S17 L+11 S 250006L+8 S24500L20 and $20OB. Maximize Profit 125 L 136 S17 L+11 S≤50006L+8 S 25000L20 and S20OD. Maximize Profit=125 L 136 S11 S≤50006L+8 S≤4500L20 and S20

Answered: Valencia Products make automobile radar…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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If a company A manufactures t-shirts and sells them to retailers for $9.80 each. It has fixed cost of $2625 related to the production of the t-shirts and production cost per unit is $2.30. Company B also manufactures t-shirts and sell them directly to consumers. The demand for this product is p= 15-x/125, its production cost per unit is $5.00 and its fixed cost is the same as company A. 1. Derive the total revenue function, R(x) for company B. 2. Derive the profit function, for company B. 3. How many t- shirts should company B sell to in order to break even. 4. How many t- shirts must company B sell to maximise its profit.
A research study in a big metropolitan area shows that 2% of individuals living within the city limits move to suburbs during one-year period while 1% of individuals living in the suburbs move to the city during a one-year period. Define the approach that should be used to solve the problem and identify all your inputs of the model.
A company that conducts bus tours found that when the price was $9.00 per person, theaverage number of customers was 1000 per week. When the company reduced the price to $7.00per person, the average number of customers increased to 1500 per week. Assuming that thedemand function is linear, what price should be charged to obtain the greatest weekly revenue?Revenue is price times number sold. Also find this maximum revenue.
Suppose a furniture builder has two models of a bookcase: standard and artisan. The standard model requires 5 hours to assemble and 1 hours for finishing touches. The artisan model requires 2 hours to assemble and 4 hours for finishing touches. Based on their current staffing, they can manage a maximum number of assembly hours available is 50 per day, and the maximum number of finishing hours available is 64 per day. Let x = the number of standard model bookcases produced per day and y = the number of artisan model bookcases produced per day. Write the system of inequalities that represents the maximum number of bookcases that can be produced in one day. 0 Graph the system of inequalities, remember to include x >0 and y > 0 in your graph to get full credit. You will need to include four lines. 25 24 VI
A collector of antique clocks sold at auction believes that the price received for the clocks may be modeled as a linear function of the age of the clocks and the number of bidders at the auction. After a preliminary study and collection of 32 observations, the collector came up with the following second-order model: y = BO+B₁x₁+B₂x₂ + ß3 x1x2 +B4x² +ɛ, where y: price of a clock; x₁: age of a clock; x2: the number of bidders. Considering the output below and by setting a = 0.05, answer the following questions. The regression equation is Price = 262 +2.26 Age + 14.2 Bidder + 1.13 AgeBid 4.20 Bid^2 Predictor Constant -261.7 2.260 14.21 Age Bidder AgeBid Bid^2 S = 84.512 Coef SE Coef 1.1301 -4.196 Analysis of Variance Source 404.4 2.052 R-Sq= 96.0% Variable Age Bidder AgeBid Bid^2 60.83 0.23 5.17 0.000 0.219 1.344 -3.12 0.004 R-Sq (adj) DF Regression 4 4606950 Residual Error 27 192840 Total 31 4799790 SS T P -0.65 0.523 1.10 0.280 0.817 a. Is the model useful as a whole? Apply an…
Suppose that a company needs 1,500,000 items during a year and that preparation for each production run costs $900. Suppose also that it costs $14 to produce each item and $3 per year to store an item. Use the inventory cost model to find the number of items in each production run so that the total costs of production and storage are minimized.

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