Answer:
Step-by-step explanation:
The number of items sold that gives the max profit is found in the vertex of this quadratic, (h, k). Lucky for us we have a formula for k that will give us exactly what we are looking for, and nothing else.
[tex]k=c-\frac{b^2}{4a}[/tex] where a = -.5, b = 50, and c = -300:
[tex]k=-300-\frac{50^2}{4(-.5)}=-300+1250=950[/tex]
The max profit is $950 per week