Given the following linear programming model, answer the questions that follow. You are given the result of a computer program. The results are Maximize 12 X1 + 18 X2 + 15 X3
Subject to:
Machine Constraint: 3 X1 + 4 X2 + 3 X3 < 160
Labor Constraint: 6 X1 + 10 X2 + 4 X3 < 288
Materials Constraint: 2 X1 + 2 X2 + 7 X3 < 200
Product 2 Constraint: X1 < 16
1. What is the optimal solution?
2. What is the profit?
3. If the profit of Product 3 was changed to $15.50 and the profit of Product 1 was changed $11.90, would that change the solution? Provide proof.
4. If the number of minutes of Machine time was decreased to 157 minutes and the amount of materials were decreased to 160 pounds, would this change the solution? Provide proof.
5.The Dual Price for Constraint 2 (Labor) is 1.548. In terms of this problem, what does that mean?

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The balance sheet contains the following major sections: current assets long-term investments property, plant, and equipment intangible assets other assets current liabilities long-term liabilities contributed capital retained earnings accumulated other comprehensive income required: the following is a list of accounts. using the letters a through j, indicate in which section of the balance sheet each of the accounts would be classified. if an account does not belong under one of the sections listed, select "not under any of the choices" from the classification drop down box. for all accounts, indicate if the account is a contra account or an account that would normally be deducted on the balance sheet by selecting "yes" from the second drop down box, otherwise select "no". account classification contra or deducted (yes/no) 1. cash 2. bonds payable (due in 8 years) 3. machinery 4. deficit 5. unexpired insurance 6. franchise (net) 7. fund to retire preferred stock 8. current portion of mortgage payable 9. accumulated depreciation 10. copyrights 11. investment in held-to-maturity bonds 12. allowance for doubtful accounts 13. notes receivable (due in 3 years) 14. property taxes payable 15. deferred taxes payable 16. additional paid-in capital on preferred stock 17. premium on bonds payable (due in 8 years) 18. work in process 19. common stock, $1 par 20. land 21. treasury stock (at cost) 22. unrealized increase in value of available-for-sale securities

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