SOLUTION: Hi, I tried to solve this question but I think I don't have enough information in order to do so. If you could help me with this and show me step by step, it'd be great. Thanks

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Question 714130: Hi, I tried to solve this question but I think I don't have enough information in order to do so. If you could help me with this and show me step by step, it'd be great. Thanks
It costs a bakery $3 to make a cake and $4 to make a pie. If production costs cannot exceed $120 per day, graph the system of inequalities that represents how many cakes and pies can be made.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Let represent the number of cakes and let represent the number of pies. Then dollars is the production cost for cakes and dollars is the production cost for pies. Since total production costs must not exceed $120, we can say:



Furthermore, you cannot make a negative number of either cakes or pies, so:



and



Graph the three inequalities. The area where the three solution sets overlap is the area of feasibility for the problem.

John

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