Each day, the production manager is faced with the problem of how many of two types of products to produce. The manager$$s goal is to maximize profits, but, at the same time, no existing customer orders should go unfilled. Based on the following information, how many of each product should the manager produce today?

Product Aluminum required $($pounds$)$ Steel required $($pounds$)$ Profit per unit Customer orders

A $5667$

B $55123$

Current inventory of aluminum $60$ pounds

Current inventory of steel $99$ pounds

Note: Non$-$integer quantities for both products are allowed. Round your answer to one decimal place.