A company produces three products: A, B and C. Each product requires two raw materials; steel and aluminum. The following LP model describes the company’s product mix problem x1, x2, and x3 represent the number of units of product A, B and C respectively

Max Z = 30x1 + 10x2 + 50x3

Subject to

6 x1+ 3 x2 + 5 x3 ≤ 450 (steel)

3 x1 + 4 x2+ 5 x3 ≤ 300 (alumimium), X1, x2, x3 ≥ 0

Identify the two production methods that optimize the company’s profit (hint: Use simplex method)​

Which statement below best describes george waring's approach to solving the problems of water-borne illness? a. waring is going with his "gut," because he believes that instincts and emotions are the best guides for action. b. waring efficiently and thoroughly lays out the case for why the problems are too large and overwhelming to be solved: people should just move out of cities back to their farms. c. waring has gathered the testimonies of people who live in densely populated areas in order to learn how they themselves have solved their problems. d. waring exhibits the industrial age's increased respect for and reliance on science and the scientific method.

Suppose the real risk-free rate and inflation rate are expected to remain at their current levels throughout the foreseeable future. consider all factors that affect the yield curve. then identify which of the following shapes that the u.s. treasury yield curve can take. check all that apply.

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