An industrial process requires of a sample that is 86.7 % pure acetylsalicylic acid…

MATHEMATICS · Single correct · CBSE · Mathematics · Linear Programming · Linear Programming

Problem

An industrial process requires

30.0\,\text{g}

of a sample that is 86.7 % pure acetylsalicylic acid (ASA) by mass. Two grades are available: • Grade X: 99.0 % ASA, cost =

5.00\,\text{g}^{-1}

• Grade Y: 80.0 % ASA, cost =

1.00\,\text{g}^{-1}

If the final batch must have a total mass of

30.0\,\text{g}

, what mass of Grade X minimizes the raw-material cost while still meeting the purity requirement? (a)

2.0\,\text{g}

(b)

19.4\,\text{g}

(c)

10.6\,\text{g}

(d)

10.0\,\text{g}