SOLUTION: I have a homework problem in which I was supposed to find the cost to assemble and deliver a centerpiece. I found that it would cost me $17.40 to make the centerpiece (the centerpi
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Question 749268: I have a homework problem in which I was supposed to find the cost to assemble and deliver a centerpiece. I found that it would cost me $17.40 to make the centerpiece (the centerpiece contains 6 carnations that cost $0.90 each and 6 daisies that cost $2.00 each) from which I would sell it for $20.00. It then asks me to "write a function for the number of centerpieces n(x) that my client can purchase for $150 in terms of the cost of each centerpiece (x)." I do not know how to write my function for this information.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
The first thing you have to do is make a distinction between "cost" and "price". Cost is the amount you take out of YOUR pocket to make each centerpiece. Price is the amount that your CLIENT takes out of his pocket to purchase each centerpiece from you. From the client's point of view, what he takes out of his pocket is HIS cost.
So your function \ =\ \lfloor\frac{A}{x}\rfloor)
where 
is the amount of money your client has budgeted for centerpieces and 
is the floor function extracting the integer part of the result of the division since it doesn't make sense to sell fractional parts of centerpieces.. In the case of the client having $150 for this purpose your function becomes:
\ =\ \lfloor\frac{150}{x}\rfloor)
If your price to the client (the client's cost, right?) is $20 per centerpiece you have
\ =\ \lfloor\frac{150}{20}\rfloor\ =\ 7)
John
Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
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