Question

a manufacturer produces two models of desk. model A requires 3 hour to stain and finish in 2 hours to assemble. model B requires 5 hours to stain and finish in 1 hour to assemble. the total amount of time available for staining and finishing is 22 hours and for assembly is 11 hours. let X represent the number of model a desk produced and let wild represent the number model B desk produced.write to any qualities that Express the fact that the number that's to be produced cannot be negative

Answer 1

We know that

• Model A requires 3 hours of stain and 2 hours to assemble.

,

• Model B requires 5 hours of stain and 1 hour to assemble.

,

• The total amount of time for staining is 22 hours.

,

• The total amount of time for assembly is 11 hours.

Using the given information, we can express the following

`\begin{gathered} 3x+5y\leq22 \\ 5x+y\leq11 \end{gathered}`

Where x is model A and y is model B. The first inequality represents the staining process and the second inequality represents the assembly process.

The image below shows the graph of the system of inequalities.

Observe that the area of the solution to the system is in the first quadrant because it can't be negative.