Question

FURNITURE SET

Set	$A$	$B$	$C$
Tables	$1$	$2$	$3$
Chairs	$7$	$5$	$2$

PRICES

Year	$2002$	$2007$	$2012$
Table	60$	80$	100$
Chair	30$	35$	40$

A furniture company sells three sets of furniture: set $A$, set $B$, and set $C$. Each set consists of a different number of tables and chairs as shown in the first table above. The second table shows the sale prices in dollars of each table and chair in three different years. Based on the prices shown, calculate the greatest possible sale price in dollars of a furniture set bought in $2007$.

• A. 270$
• B. 335$
• C. 320$
• D. 325$
• E. 315$

Answer 1

Answer: (B)

335$

Consider furniture set $A$: it consists $1$ table and $7$ chairs.
The price of set $A$ in $2007$: $1\times$80+7\times$35=$325$
Consider furniture set $B$: it consists $2$ tables and $5$ chairs.
The price of set $B$ in $2007$: $2\times$80+5\times$35=$335$
Consider furniture set $C$: it consists $3$ tables and $2$ chairs.
The price of set $B$ in $2007$: $3\times$80+2\times$35=$310$
The greatest of these three is $\$335$.
Hence,option $B$ is correct.