An appliance manufacturer produces two models of microwave ovens: x and y. both models require fabrication work; each x uses 10 hour of fabrication and each y uses 15 hours of fabrication. there are 30 fabrication hours available this week. x and y contribute $40 and $50 to the total profit, respectively. to find quantities of x and y that will maximize the total profit, build a linear programming model and solve the lp model using solver. what is the optimal profit?

Yes it is why .. 

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.

Iwould say rn rich the kid because uzi hasn't  been doing much.