Question $$2$

Chris Sandvig Irrigation, Inc. has summarized the price list from four suppliers of an underground control valve, see the table below. Annual usage is $2400$ valves; order cost is $$10$ per order; an annual inventory holding costs is $15\%$ of product price. Which vendor should be selected and what order quantity is best if Sandvig Irrigation wants to minimize total cost?

$\backslash$table$[[$Vendor A$,$Vendor B$],[$Quantity$,$Price,Quantity,Price$],[1-49,$$$35,1-74,$$$34\mathrm{.}75$