Convert the constraints into linear equations by using slack variables.Maximize z = x1 + 2x2 + 3x3Subject to: x1 + 7x2 + 2x3 ? 40 5x1 + x2 + 4x3 ? 50 x1 ? 0, x2 ? 0, x3 ? 0
A. x1 + 7x2 + 2x3 + s1 = 40
5x1 + x2 + 4x3 + s1 = 50
B. x1 + 7x2 + 2x3 = s1 + 40
5x1 + x2 +4x3 = s2 + 50
C. x1 + 7x2 + 2x3 + s1 = 40
5x1 + x2 + 4x3 + s2 = 50
Answer: C
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Graph the solution set of the system of inequalities.x + 2y ? 2 x - y ? 0
A. 
B. 
C. 
D. 
The lists below show five agricultural crops in Alabama, Arkansas, and Louisiana.AlabamaArkansasLouisianasoybeans (s)soybeans (s)soybeans (s) peanuts (p)rice (r)sugarcane (n)corn (c)cotton (t)rice (r)hay (h)hay (h)corn (c)wheat (w)wheat (w)cotton (t)Let U be the smallest possible universal set that includes all of the crops listed; and let A, K, and L be the sets of five crops in Alabama, Arkansas, and Louisiana, respectively. Find the indicated set.K' ? L
A. {h, w} B. {c, n} C. {c, n, p} D. {r, s, t}
Suppose that Nora invested $900 at 9.25% compounded annually for 9 years and Patti invested $900 at 9% compounded quarterly for 9 years. At the end of 9 years, who will have the most money and by how much (to the nearest dollar)?
A. Nora by $10 B. Patti by $3 C. Nora by $3 D. Patti by $10 E. They will have equal amounts of money.
Solve the problem.A television offer advertised a set of knives for $20 down and $8 a month for 12 months. What is the total cost of the knives?
A. $96 B. $126 C. $116 D. $106