Hmm, linear programming problem.

[WTF?]

Hey guys, I have this problem that I'm somewhat confused about, mainly because I don't understand how to set the equations.

Brenda is studying hard for two final exams, one in her Spanish class, the other in algebra. She figures that each Spanish vocabulary word she learns will mean an increased score of about .04 point. (That is, she expects that about 1 in 25 words will be on the test.) Each algebra question she reviews will mean an increased score of about .10 point. (About 1 in 10 questions will be on the test.) She has two difficulties: there are only 4 hours to study between now and the test and she has only 12 sheets of notebook paper, each with 35 lines. Each new vocabulary words takes 2 minutes to learn. An algebra question averages about 4 minutes. A vocabulary word takes 3 lines of notebook paper (she writes them down again and again to work on them). A typical algebra question takes 10 lines.

a. How much tie should Brenda spend on Spanish and how much on Algebra to maximize the increase in her total score?

b. If she spends the time, what increase in score can she expect in Spanish and what increase in algebra?

 

[Gene]

She spends A minutes on algebra
She spends S minutes on Spanish
She has 12*35 = 1680 lines
She has 4*60=240 minutes
Spanish takes 3(S/2) lines
The increase in Spanish score is
.04*(S/2)
Algebra takes 10(A/4) lines
The increase in Algebra score is
.1*(A/4)
3(S/2)+10(A/4)<12*35 so
6S+10A<1680
S+A < 240

Gain = .04(S/2)+.1(A/4)