FIRST QUESTION

A food processor is considering the development of a new product. Depending on the quality of raw material, he can expect different yields process$-$wise, and the quality of the final products will also vary considerably. The product development department has identified three alternatives, which it has produced on a pilot scale. The marketing department has used those samples for surveys to estimate potential sales and pricing strategies. The three alternatives, which would use existing equipment, but different process conditions and specifications, are summarized as follows. Indicate which alternative seems to be the best according to the estimated data, if the objective is to maximize total profit per year.

$\backslash$table$[[,$Alternative$],[,1,2,3,],[$Pounds of raw material A per unit of product,$0\mathrm{.}05,0\mathrm{.}07,0\mathrm{.}075,],[$Pounds of raw material $B$ per unit of product,$0\mathrm{.}19,0\mathrm{.}18,0\mathrm{.}26,],[$Pounds of raw material $C$ per unit of product,$0\mathrm{.}14,0\mathrm{.}12,0\mathrm{.}17,],[$Other processing costs $($ $ unit product$),$$$0\mathrm{.}16,$$$0\mathrm{.}24,$$$0\mathrm{.}23,],[$Expected wholesale price $($$$/$unit product$),0\mathrm{.}95,1\mathrm{.}05,1\mathrm{.}25,],[$Project volume of sales $($units of product$),1,000,000,1,250,000,800,000,],[$Cost of raw material $A$$$\frac{3\mathrm{.}45}{1}b,,,,],[$Cost of raw material $B$$$\frac{1\mathrm{.}07}{1}b,,,,],[$Cost of raw material $C$$$\frac{1\mathrm{.}88}{1}b,,,,]]$

SECOND QUESTION