Mathematics · May / June 2023 · Paper 41 · Question 8
0580
As printed in the paper
The question as text
A tailor makes x dresses and y shirts in one week. In one week • he makes at least 4 dresses • he makes no more than 7 shirts • he makes less than 14 dresses and shirts altogether • the number of shirts he makes is more than 3 2 of the number of dresses. One of the inequalities that shows this information is x 4 H .
Read automatically from the paper; the printed page above is exact.
Show the answer and mark scheme
8(a)[3]
y 7 oe + < x y 14 oe 2 > y x oe 3 [3]
B1 for each
8(b)[6]
= x 4 solid = y 7 solid + = x y 14 dashed 2 = y x dashed 3 correct shading everywhere but region R R [12]
M4 B1 for each A2 M1dep (dependent on M4 or B1B1B1B0 where the only error is wrong use of solid/dashed lines) for shading the correct side of 3 of the 4 lines.
8(c)[1]
4 dresses and 3 shirts [1]
8(d)[2]
106 [2]
+ 2
M1 for 10 x 6 y evaluated for (x, y) in their region R
or B1 for (7, 6) After 0 scored,
SC1 for answer 112 or 116
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