Use This Graph to Answer the Questions $\le$ 180
15X + 10Y

question 21

Essay

Use this graph to answer the questions. Max
20X + 10Y
s.t.
12X + 15Y $\le$ 180
15X + 10Y $\le$ 150
3X - 8Y $\le$ 0
X , Y $\ge$ 0
a.Which area (I, II, III, IV, or V) forms the feasible region?
b.Which point (A, B, C, D, or E) is optimal?
c.Which constraints are binding?
d.Which slack variables are zero?

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Definitions:

Nat Turner

An African American slave who led a violent slave rebellion in Virginia in 1831, resulting in the deaths of dozens of white people and increased oppressive legislation against enslaved and free African Americans.

African-American Christianity

A form of Christianity practiced among African-American communities, incorporating unique cultural expressions and experiences, particularly those related to historical struggles and liberation.

Planter Class

Refers to the wealthy and influential landowners in the South who owned plantations and numerous slaves prior to the American Civil War.

Slave Mistress

A term historically used to refer to a female slave who was forced into a sexual relationship by her owner, often without any power to refuse.