Recall the production model:MaxMaxs.t.s.t.10xSuppose the firm in this example considers a second product that has a unit profit of $5 and requires 2 hours of labor time for each unitproduced. Use y as the number of units of second product produced.(a) Show the mathematical model when both products are considered simultaneously.5x ≤ 40x ≥ 0x ≥ 0, y ≥ 0 (b) Identify the controllable and uncontrollable inputs for this model. (Select all that apply.)(i) controllableX(ii) uncontrollableX =0000000000y =P =ylabor hourslabor availabilityunit profit$(c) What are the optimal solution values of x and y? (Let P be total profit.)Xylabor hourslabor availabilityunit profit

Production is a vital piece of financial matters. It makes esteem in the economy since it applies…

Answered: Recall the production model: Max 10x…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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A product requires four parts that are made on the same lathe. Call the parts A, B, C,and D. The product requires 1 unit of A, 2 of B, 4 of C, and 8 of D. Which of the following production cycles is most appropriate?a. A: 100, B: 100, C: 100, D: 100 c. A: 100, B: 150, C: 200, D: 400b. A: 101, B: 102, C: 104, D: 108 d. A: 100, B: 200, C: 400, D: 800
Hansen Controls has been awarded a contract for a large number of control panels. To meet this demand, it will use its existing plants in Houston and Tulsa, and consider new plants in Portland, St. Louis and Lexington. Finished control panels are to be shipped to Denver, Kansas City and Seattle. Pertinent information is given in the table. Denver 1 1- 2- 3- Sources 4- 5- Houston Tulsa Portland Construction St. Louis Cost Kansas City 2 ---- 1 Shipping Cost to Destination: Capacity Seattle 3 6 6 500,000 450,000 Lexington 400,000 Demand 14,000 13,000 18,000 We develop a transportation model as an LP that includes provisions for the fixed costs (construction costs in this case) for the three new plants. The solution of this model would reveal which plants to build and the optimal shipping schedule. Let xij = the number of panels shipped from source i to destination j y₁ = 1 if plant i is built, = 0 otherwise (i = 3, 4, 5) The constraint x21 + x22+x23 <= 13,000*y3 represents which of the…
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The word is out on Dogs 'R GRRRRReat's new loyalty program: The Bark Card. Here are the basis that were advertised in the email blitz that went out earlier this week: The new DRG Bark Card does the following: 1. Customers bring the Bark Card with them whenever they visit DRG and any food, accessory or veterinary service is discounted 25% using the card. When the card is used, it registers the customer’s purchase and contributes to DRG’s records for measurement and evaluation purposes. 2. Quarterly, based on use frequency, Bark Card users will receive additional promotional material in electronic and hard copy formats that can be used for further discounts or points toward significant purchases (veterinary or consumer purchases over $1,500). 3. These offers are also available to all DRG employees, who will be able to add the discount to their current 10% employee discount. Customers apply for the card online through the DRG.com website, where they list their email and physical address,…
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