Solve Problems Involving Systems Without Unique Solutions
Solve the Problem $t$

question 86

Multiple Choice

Solve Problems Involving Systems Without Unique Solutions
Solve the problem using matrices.
-A company that manufactures products A, B, and C does both assembly and testing. The hours needed to assemble and test each product are shown in the table below.

The company has exactly 24 hours per week available for assembly and 109 hours per week available for testing. If the company must produce $t$ units of Product $C$ this week, how many units of Products $A$ and $B$ can they produce?

• A) 11 of Product A; \(- 2 t + 13\) of Product B
• B) 11t of Product A; 2t \(+ 13\) of Product B
• C) \(t + 11\) of Product \(A ; t + 13\) of Product \(B\)
• D) 11 of Product \(A ; 13\) of Product \(B\)

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Definitions:

XIST Gene

A gene that is crucial for X-chromosome inactivation, a process that occurs in females to prevent the overexpression of X-linked genes.

Barr Body

A Barr Body is an inactivated X chromosome found in the cell nuclei of female mammals, visible as a dense mass.

Lac Operon

A group of genes with a single promoter that are involved in the transport and metabolism of lactose in bacteria and regulated together.

Escherichia Coli

A species of bacteria found in the intestines of animals and humans; some strains can cause food poisoning.