Given And $c = - 6$ , Determine $c A B ^ { 2 }$

question 33

Multiple Choice

Given:
$A = \left[ \begin{array} { r r r } - 7 & - 4 & 2 \\ 4 & - 5 & - 8 \end{array} \right] , B = \left[ \begin{array} { r r r } - 4 & 1 & - 7 \\ 8 & - 8 & 3 \end{array} \right]$ and $c = - 6$ , determine $c A B ^ { 2 }$ .

• A) \(\left[ \begin{array} { r r } 108 & 1998 \\ 4116 & 816 \end{array} \right]\)
• B) \(\left[ \begin{array} { r r r } - 4704 & - 96 & - 1176 \\ - 6144 & - 9600 & - 3456 \end{array} \right]\)
• C) \(\left[ \begin{array} { r r r } 672 & 24 & - 588 \\ - 1536 & 1920 & 432 \end{array} \right]\)
• D) \(\left[ \begin{array} { r r r } - 864 & - 1494 & 1842 \\ 2304 & 1944 & 1446 \\ 2880 & 3060 & - 156 \end{array} \right]\)
• E) not possible

---

Definitions:

Marginal Revenue

The additional income gained from selling one more unit of a product or service.

Monopolist's Demand Curve

The demand curve faced by a monopolist, which is the same as the market demand curve, indicating that the monopolist can set the price only by choosing the quantity to produce.

Elastic

Describes a situation in which the demand or supply for a product changes significantly when its price changes.

Barriers

Obstacles that prevent or hinder entry into a market or the pursuit of certain activities, which can be economic, legal, technical, or natural in nature.