A school club needs at least $20$ activity packs and can store at most $23$. Its budget is $180.

Question

A school club needs at least $20$ activity packs and can store at most $23$. Its budget is $180. Supplier A charges $40 for delivery and $6 per pack. Supplier B charges $10 for delivery and $8 per pack. Let $n$ be the number of packs bought from one supplier. Find all possible values of $n$ if the club uses Supplier A.[2] Find all possible values of $n$ if the club uses Supplier B.[2] The club decides to buy 22 packs. State which supplier it can use, and justify your answer using the total costs.[2]

Accepted Answer

(a) $20,21,22,23$ (b) $20,21$ (c) Supplier A; costs are $\$172$ for A and $\$186$ for B.

Comparing feasible purchases

Comparing feasible purchases

Solution:

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