SOLUTION: The expense, in dollars, to manufacture a asks of 100% Organic Guru Energy drink is {{{ k(a) = 10a+100 }}} , {{{ a >= 0 }}}. The price-demand function, in dollars per ask, is {{{

Question 1128650: The expense, in dollars, to manufacture a asks of 100% Organic Guru Energy drink is , .
The price-demand function, in dollars per ask, is , .
Solve k(a)=0 and interpret.
Solve p(a)=0 and interpret.
(Please notice the comma between k(a) and the inequality, alongside p(a) and the inequality. The problem calls to interpret, I don't think that really means anything... This is a 'basic college algebra' class problem, not so basic for me though)
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Dollars per "ask"? Come on, please proofread your posts BEFORE you hit send.

Of course "interpret" means something. It means that you are supposed to describe the meaning of the mathematical model in real life terms.

Consider

. Since

but

is restricted to the non-negative integers, the solution set of

is the null set. That is to say, there is no positive integer

so that

. In real life terms, even if you didn't manufacture ANY "asks" of 100% Organic Guru Energy drink, you would never have a zero expense.

If

, then in order to have a demand of 35 "asks" you have to set the price at zero. A ludicrous situation in real life to be sure. I question the wisdom of including the high endpoint on the domain restriction.

I'm guessing that the lesson here is that, in order for some mathematical models to be meaningful, you must restrict the range as well as the domain of the function.

John

My calculator said it, I believe it, that settles it

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