Blacktop Refining extracts minerals from ore mined at two different sites in Montana. Each ton of ore type 1 contains 20% copper, 20% zinc, and 15% magnesium. Each ton of ore type 2 contains 30% copper, 25% zinc, and 10% magnesium. Ore type 1 costs $90 per ton while ore type 2 costs $120 per ton. Blacktop would like to buy enough ore to extract at least 8 tons of copper, 6 tons of zinc, and 5 tons of magnesium in the least costly manner. Select the correct LP model for this problem.
Make sure that the equations for the objective function and each of the three constraints should be in the order of copper, zinc and magnesium respectively.
Let X1 represent Tons of ore purchased from mine 1.
Let X2 represent Tons of ore purchased from mine 2.
a. Formulate an LP model for this problem.
b. Sketch the feasible region for this problem.
c. Find the optimal solution.

Amodified roulette wheel has 36 slots. one slot is 0, another is 00, and the others are numbered 1 through 34, respectively. you are placing a bet that the outcome is an odd number. (in roulette, 0 and 00 are neither odd nor even.) a. what is your probability of winning? the probability of winning is startfraction 17 over 36 endfraction . (type an integer or a simplified fraction.) b. what are the actual odds against winning? the actual odds against winning are nothing: nothing. c. when you bet that the outcome is an odd number, the payoff odds are 1: 1. how much profit do you make if you bet $10 and win? if you win, the payoff is $ nothing. d. how much profit should you make on the $10 bet if you could somehow convince the casino to change its payoff odds so that they are the same as the actual odds against winning? $ nothing (round to the nearest cent as needed.)