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)​

It will be baptism records

Part (a) is relatively straight forward.there are 4 aces in a standard 52-card deck. so the probability that an ace is picked is just 4/52.part (b): note that there are 4 suits in a standard 52-card deck. so picking hearts will be 13/52 or 1/4.part (c): the probability condition or means we need to add the two probabilities because we do not want them simultaneously. so, we end up getting pr(ace) + pr(heart).from part (a), we found that picking an ace had a probability of 4/52, which is reduced down to 1/13.from part (b), we found that picking a heart had a probability of 1/4.so, the probability of an ace or a heart is 1/13 + 1/4 = 4/52 + 13/52 = 17/52.