4. a) Other than the joy it may have been to create your game, one of the most important things is the economic research that goes behind your game. The cost, C(n), to make your game is
modeled by the equation C(n) = 0.156- 0.6n + 3
in millions of dollars, where n is the
number of products produced per hour in thousands Determine the minimum production cost.

b) fter you find the minimum production cost, what is the amount of video games you will need to produce

Afriend of mine is giving a dinner party. his current wine supply includes 10 bottles of zinfandel, 8 of merlot, and 11 of cabernet (he only drinks red wine), all from different wineries. (a) if he wants to serve 3 bottles of zinfandel and serving order is important, how many ways are there to do this? ways (b) if 6 bottles of wine are to be randomly selected from the 29 for serving, how many ways are there to do this? ways (c) if 6 bottles are randomly selected, how many ways are there to obtain two bottles of each variety? ways (d) if 6 bottles are randomly selected, what is the probability that this results in two bottles of each variety being chosen? (round your answer to three decimal places.) (e) if 6 bottles are randomly selected, what is the probability that all of them are the same variety? (round your answer to three decimal places.)