Mathematics · May / June 2020 · Paper 41 · Question 6
0580
As printed in the paper
The question as text
Raheem makes baskets and mats. Each week he makes x baskets and y mats. He makes fewer than 10 mats. The number of mats he makes is greater than or equal to the number of baskets he makes.
Read automatically from the paper; the printed page above is exact.
Show the answer and mark scheme
6(a)[1]
2.25x + 1.5y ⩽ 22.5 oe [1]
6(b)[2]
3x + 2y ⩽ 30 One step shown to [2]
M1 A1
6(c)[5]
y = 10 ruled 3x + 2y = 30 ruled y = x ruled Correct region indicated [1]
Broken line B2 Solid line
B1 for line passing through (0, 15) or (10, 0) B1 Solid line B1
6(d)[2]
412 [2]
M1 for (4, 9) identified or for evaluation 40x + 28y for an integer point in the region (x > 0 and y > 0)
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