Answer:
[tex]5\leq \: x\leq 16[/tex]
Step-by-step explanation:
The daily profit P for a cake bakery is modeled by the function
[tex]P(x)= -15x^2 +330x -815.[/tex] where x=Price of Cakes Sold
We want to determine the value of x which will provide a daily profit of at least $600.
[tex]-15x^2 +330x -815\leq 600[/tex]
[tex]-15x^2 +330x -815-600\leq 0\\ -15x^2 +330x-1415\leq 0\\\text{Using Calculator to solve the quadratic equation}\\5.83\leq x \: or \: x\leq 16.16\\5\leq x\leq 16[/tex]
The minimum Price which the cakes can be sold is represented by the inequality
[tex]5\leq \: x\leq 16[/tex]
