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October 25, 2014

October 25, 2014

Posted by **CJ** on Monday, November 12, 2007 at 4:02pm.

- Algebra -
**Michael**, Monday, November 12, 2007 at 4:28pmYou want to answer as many of type B as possible because they're worth the most points.

10*7 = 70

That leaves eight questions of type A that you can answer.

8*4 = 32

70 + 32 = 102

- Algebra -
**Reiny**, Monday, November 12, 2007 at 4:29pmlet the number of questions answered from part A be x

let the number of questions answered from part B be y

we have 3 main conditions:

x ≤ 10

y ≤ 10 and

x+y ≤ 18

also we have x>5 and y>3

sketch this on a graph and any point with integer coordinates in the first quadrant that satisfies these conditions would be a possible "test".

Then Marks = 4x + 7y

this can be represented by a straight line with slope -4/7.

we want this line to be as far away from the origin as possible, (highest mark), but still be in contact with the region we have defined.

notice the slope of x+y=18 is -1 which is 45º to the left, while a slope of -4/7 is a line not yet 45º

so marks=4x+7y would still touch our region at the point (10,18), namely the intersection of the boundaries x+y=18 and y=10

so you should answer 8 questions form part A and 10 questions from part B

for a total score of 102

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