DSCI $300$

Name: $q,$

Date: $q,$

Q$2$ Galaxy Industries is an emerging toy manufacturing company that produces two "space age" water guns that are marketed nationwide, primarily to discount toy stores. Although many parents object to the potentially violent implications of these products, the products have proven very popular and are in such demand that Galaxy has had no problem selling all the manufactured items

Two models, Zapper and Space Ray, are produced in lots of one dozen each and are made exclusively from a special plastic compound. Two of the limiting resources are the $1000$ pounds of the special plastic compound and the $40$ hours of production time that are available each week.

Galaxy's marketing department is more concerned with building a strong customer demand base for the fledgling company's products than with meeting high production quotas. Two of its recommendations, which Galaxy's management has already accepted, are to limit total weekly production to at most $700$ dozen units and to prevent weekly production of Space Rays from exceeding that of Zappers by more than $350$ dozen. The following table summarizes the per dozen resource requirements and profit values $($calculated by subtracting variable production costs from their wholesale selling prices$).$

$\backslash$table$[[$Product$,$Space Ray,Zapper$],[$Profit per Dozen,$$8,$$$5$