Step-by-step explanation:
Looking at the matrix, they state that b1 and b2 are the costs per pound of bok choy at Market 1 and Market 2. While r1 and r2 are the costs per pound of rice flour at Market 1 and Market 2.
[tex]\left[\begin{array}{ccc}0.5&0.5\end{array}\right] \left[\begin{array}{ccc}b_1&r_1\\b_2&r_2\end{array}\right] =\left[\begin{array}{ccc}p&q\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}\frac{b_1}{2}+\frac{b_2}{2}&\frac{r_1}{2}+\frac{r_2}{2}\end{array}\right]=\left[\begin{array}{ccc}p&q\end{array}\right][/tex]
Therefore, [tex]q = \frac{r_1}{2}+\frac{r_2}{2}[/tex]
So we can see that we are looking for the total cost of a half-pound of rice flour at market 1 and a half-pound of rice flour at market two.
Answer: Option J
