A simplex tableau is shown below. You should complete the tableau and respond to the questions posed. Basis CB сj JIN cj Zj X1 3 1 X2 4 x3 S1 00 5 0 1/2 0 1 1/2 $2 0 -1/2 6 -1/4 1 What is the current value of the objective function of the current simplex tableau? (round to 2 decimal places) 3
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- If a monopolist produces q units, she can charge 400 4q dollars per unit. The variable cost is 60 per unit. a. How can the monopolist maximize her profit? b. If the monopolist must pay a sales tax of 5% of the selling price per unit, will she increase or decrease production (relative to the situation with no sales tax)? c. Continuing part b, use SolverTable to see how a change in the sales tax affects the optimal solution. Let the sales tax vary from 0% to 8% in increments of 0.5%.You want to take out a 450,000 loan on a 20-year mortgage with end-of-month payments. The annual rate of interest is 3%. Twenty years from now, you will need to make a 50,000 ending balloon payment. Because you expect your income to increase, you want to structure the loan so at the beginning of each year, your monthly payments increase by 2%. a. Determine the amount of each years monthly payment. You should use a lookup table to look up each years monthly payment and to look up the year based on the month (e.g., month 13 is year 2, etc.). b. Suppose payment each month is to be the same, and there is no balloon payment. Show that the monthly payment you can calculate from your spreadsheet matches the value given by the Excel PMT function PMT(0.03/12,240, 450000,0,0).Write “True” if the statement is true and write “False” if the statement is false.1. With the emergence of the information era, companies need to create value from theirintangible assets as well as their physical and financial assets.2. The primary purpose of balanced scorecard is to obtain increased operating profits for thecurrent year.3. To achieve success, it is important to set non-financial objectives as well as financial objectives.4. Different value propositions lead to different balanced scorecards.5. A properly constructed balanced scorecard tells the story of a business unit’s strategy.6. Strategy is about selecting the set of activities in which the organization will excel to create asustainable difference in the market.7. The vision and mission statement set the general direction for the organization.8. To create the balanced scorecard, first measures are identified and then translated intoobjectives.9. One valuable measure for the customer perspective of the balanced…
- a. Maximize Z = 6X1 + 18X2+20X3 (Don't use excel shortcut solve manually by Simplex LPP method)Sub toX1 + X2 +X3 = 6010X1 +15X2 +20X3 = 9002X1 + 3X2 +3X3≤100And X1, X2, X3 >=02) Max Z = 2X1 + 3X2 (Don't use excel shortcut solve manually by Simplex LPP method)Sub toX1 + 2X2 ≥ 5010X1 + 20X2 ≤ 175And X1, X2 ≥ 0XYZ Corporation manufactures two products, Simple and Complex. The following annual information was gathered: Simple Complex Selling price per unit P47.00 P26.00 Variable cost per unit 42.00 22.00 Total annual fixed costs are P18,000. Assume XYZ Corporation can produce and sell any mix of Simple or Complex at full capacity. It takes 1.5 hours to make one unit of Complex. However, Simple takes 50% longer to manufacture when compared to Complex. Only 120,000 hours of plant capacity are available. How many units of Simple and Complex should XYZ Corporation produce and sell in a year to maximize profits?
- Use the simplex method to solve the following LP Max z = 2x1 + 3x2 s.t. x1 + 2x2 <= 6 2x1 + x2 <= 8 END LP Please use tableau like the one in the attached image, thanksXYZ Corporation manufactures two products, Simple and Complex. The following annual information was gathered: Simple Complex Selling price per unit P47.00 P26.00 Variable cost per unit 42.00 22.00 Total annual fixed costs are P18,000. Assume XYZ Corporation can produce and sell any mix of Simple or Complex at full capacity. It takes one hour to make one unit of Complex. However, Simple takes 50% longer to manufacture when compared to Complex. Only 120,000 hours of plant capacity are available. How many units of Simple and Complex should XYZ Corporation produce and sell in a year to maximize profits?Is my solution correct and did I fully answer the questions? (see attachment for my solution) Question: There are three factories on Momiss River. Each emits two types of pollutants, labeled P1 and P2, into the river. If the waste from each factory is processed, the pollution in the river can be reduced. It costs $1,500 to process a ton of factory 1 waste, and each ton processed reduces the amount of P1 by 0.10 ton and the amount of P2 by 0.45 ton. It costs $2,500 to process a ton of factory 2 waste, and each ton processed reduces the amount of P1 by 0.20 ton and the amount of P2 by 0.25 ton. It costs $3,000 to process a ton of factory 3 waste, and each ton processed reduces the amount of P1 by 0.40 ton and the amount of P2 by 0.50 ton. The state wants to reduce the amount of P1 in the river by at least 125 tons and the amount of P2 by at least 175 tons. a. Use Solver to determine how to minimize the cost of reducing pollution by the desired amounts. Are the LP assumptions…
- A person sells and installs A, B and C. The table shows, for example, that it takes 3 hours to sell a unit of B, it takes 4 hours to install it, and net profit per unit is $ 40. Product No. of Units Selling Hours per Unit Installation Hours per Unit Profit per Unit A x 1 1 $10 B y 3 4 40 C z 2 1 10 During a 38-hour week, the person allots no more than 18 hours to selling and no more than 20 hours to installation. Find the combination of number of units of A, B, C that would yield maximum profit.Can you show how to put it in Excel? XYZ store sells regular and premium nut mixes. Premium mix contains three quarters pound of cashews and one quarter of peanuts, and the regular mix has half pound of cashews and half pound peanuts per bag. The shop has 200 pounds of cashews and 300 pounds of peanuts to work with. Cashews cost $1.50 per pound, and peanuts cost 60 cents per pound. Premium mix will sell for $2.90 per pound, and the standard mix will sell for $2.55 per pound. The owner esimtes that no more than 200 bags of one types can be sold. What is the best combinations of products that maximizes profits? Make sure to create a feasible solution with countable number of products (no partials)This section contains questions regarding the 2nd part of the Unit 1 with the following topics: 1. Financial Planning2. Savings and budgeting3. Investing 1.Mutual Fund is when an investor directly acquires a claim on a security or property True False 2. The "Rule of 75" is used to determine the number of yearss needed to double the value of your money * True False