Thursday, October 22, 2009

Manufacturing Computers- Algebra 1 Level Problem?

You are selling two types of computers, Model A and Model B. Model A takes 12 hours to assemble and 10 min. to inspect, while Model B takes 6 hours to assemble and 30 min. to inspect. Model A's profit for each computer sold is $360, while Model B's profit is $216. An assembler works for 36 hours and is paid $900 each week, while an inspector works for 35 hours and is paid $1080 each week. If the total number of computers you can manufacture is 360 and all computers are sold, how many of each type of computer should you make to get the maximum profit?



Any help is appreciated, but please show your work. Thanks!



Manufacturing Computers- Algebra 1 Level Problem?internet security



You have to write inequalities for each sentence using two variables, say x for number of model A's made, and y for number of model B's made. Then graph and shade the inequalities, and find the coordinates of the vertices of the shaded region. Finally plug these into the profit formula to see which ones make the highest profit.



Here the profit is P = 360x + 216y



The inequalities would be



x鈮?



y鈮?



x+y鈮?60



There is a problem with how this question is written though because if the $360 and $216 are truly profits then it wouldn't matter how much the employees were paid since the cost of employment is already subtracted from revenue to get profit. So right now it's unanswerable.

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