Suppose a Pharmaceutical Corporation Has Two Plants That Produce the Same

Multiple Choice

Suppose a pharmaceutical corporation has two plants that produce the same over-the-counter medicine. If $\text { If } x _ { 1 } \text { and } x _ { 2 } \text { are the numbers of units produced at plant } 1 \text { and plant } 2 ,$ respectively, then the total revenue for the product is given by $R = 200 x _ { 1 } - 200 x _ { 2 } - 4 x _ { 1 } ^ { 2 } - 8 x _ { 1 } x _ { 2 } - 4 x _ { 2 } ^ { 2 }$ . When $x _ { 1 } = 4$ and $x _ { 2 } = 11$ find the marginal revenue $\frac { \partial R } { \partial x _ { 1 } }$ for plant $1 .$

A) 174
B) 172
C) 80
D) 124
E) 93