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Restrict a free parameter to feasible donor counts

A blood donation drive collected 520 litres from 1,200 donors, each with a unique type A, B or O. The volume collected per donor is:

Blood typeVolume per donor (litres)
A0.35
B0.40
O0.45

By writing down a system of equations, find the range of possible numbers of type O donors.

[2017/MI/Promo/I/2]

CJC · Lecture · Example 8

Solve in terms of the type O count, then enforce both nonnegativity and integrality.

Read the worked solution