Mathematics · Oct / Nov 2024 · Paper 41 · Question 7
0580
As printed in the paper
The question as text
A company makes scientific calculators and graphic calculators. Each day they make x scientific calculators and y graphic calculators. These inequalities describe the number of scientific and graphic calculators they make each day. x 180 Þ y 90 á x y 240 á ³
Read automatically from the paper; the printed page above is exact.
Show the answer and mark scheme
7(a)[2]
180 and 240 [2]
B1 for 180 or for 240
7(b)[1]
12x + 18y ≥ 2700 and completion to 2x + 3y ≥ 450 [1]
with no errors seen
7(c)[7]
x = 180 broken straight line and y = 90 solid ruled line and x + y = 240 solid ruled line and 2x + 3y = 450 solid ruled line Correct region indicated 1 2 1 1 [14]
B5 B1 for x = 180 broken straight line
B1 for y = 90 solid ruled line
B1 for x + y = 240 solid ruled line
B2 for 2x + 3y = 450 solid ruled line
or B1 for line with a negative gradient passing through (0, 150) or (225, 0)
B2 B1 for region satisfying 3 of the inequalities
7(d)[2]
4200 [2]
B1 for 150 and 90
or M1 for their 150 × 10 + their 90 × 30
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