Question

suppose a furniture builder has two models of bookcase and artisan the standard model requires 6 hours to assemble and 2 hours for finishing the artisan model requires 4 hours to assemble and 8 hours for finishing touches based on their current staffing they can manage a maximum number of assembly hours available is 96 per day the maximum number of finishing hours available is 112 per daylet x=the number of standard model bookcases produced per day and y=the number of artisan model bookcases produced per daywrite the system of ineaualities that represents the maximum number of bookcase that can be produced in one year.______<96 -______<112 -

Answer 1

hello

to solve this question, let's get the datas down

to write the system of inequalities, first let's know the number of hours on each model

standard model = 6 hours to assemble + 2 hours for finishing touches

artisan model = 4 hours to assemble + 8 hours to assemble

available hours for :

a) standard model = 96 hours

b) artisan model = 112 hours

x = standard model produced daily

y = artisan model produced daily

$6+2=8\text{hrs }$

it takes 8 hours to make 1 standard model

in 96 hours, we'll have

$\begin{gathered} \frac{96}{8}=12 \\ 8x\le96 \end{gathered}$

next we find that of artisan model

$4+8=12$$12y\le112$