Bean Cost per Pound Available Pounds

$1$ $$0\mathrm{.}50550$

$2$ $$0\mathrm{.}70650$

$3$ $$0\mathrm{.}45350$

Assume that the aroma and taste attributes of the coffee blend will be a weighted average of the attributes of the beans used in the blend.

$($a$)$

What is the minimum$-$cost blend $($in pounds$)$ that will meet the quality standards and provide $1,000$ pounds of the blended coffee product?

Bean $1550$ lb

Bean $2270$ lb

Bean $3180$ lb

$($b$)$

What is the cost per pound for the coffee blend $($in dollars$)?$