Answer:
I assume it would be 15 loves of banana bread.
Step-by-step explanation:
if you do 8 loves of pumpkin bread, you get $24 profit.
If you do 15 loves of banana bread, you get $37.50 in profit.
To maximize the profit of $38 , baker should make 12 loaves of banana bread and 2 loaves of pumpkin bread.
" Linear inequalities are defined as algebraic expression which are related with the sign of inequality."
According to the question,
'x' represents the number of loaves of banana bread
'y' represents the number of loaves of pumpkin bread
As per the given condition,
Total profit on making bread [tex]'P' = 2.50x + 4.00y[/tex] ____(1)
Linear inequalities are
[tex]2x + 3y\leq 30\\\\x+ 2y \leq 16[/tex]
By solving linear inequalities we get,
[tex]x= 12\\ \\y =2[/tex]
As shown in the diagram drawn , point of intersection is (12,2) for the given inequality.
Substitute the value of 'x' and 'y' in (1) to get the maximize profit ,
Maximize profit ' P' [tex]= 2.50(12) + 4 (2)[/tex]
[tex]= 30 + 8\\= \$38[/tex]
Hence, to maximize the profit of $38 , baker should make 12 loaves of banana bread and 2 loaves of pumpkin bread.
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