A certain company's main source of income is selling socks. The company's annual profit (in millions of dollars) as a function o
2 answers:
A quadratic function models the profit of the company and the maximum/minimum value of the quadratic function occurs on its vertex.
The given function is:
The equation is already in standard form, the vertex of the parabola as seen from the equation is (5,12)
This mean if the company sets the price of socks to $5 they will earn a maximum profit which is $ 12 million
The given function is:
The equation is already in standard form, the vertex of the parabola as seen from the equation is (5,12)
This mean if the company sets the price of socks to $5 they will earn a maximum profit which is $ 12 million
You might be interested in
Answer:
The merchant buys 30 shirts originally.
Step-by-step explanation:
Let us assume that the merchant bought x numbers of shirts in $120.
So, the cost for each shirt is $.
Now, if the cost for each shirt is reduced by 1$, then he would have bought 10 shirts more i.e. (x + 10) shirts in $120.
So, we can write the following equation as
⇒(120 - x)(x + 10) = 120x
⇒ 120x - 10x + 1200 - x² = 120x
⇒ x² +10x - 1200 = 0
⇒ x² + 40x - 30x - 1200 = 0
⇒(x + 40)(x - 30) = 0
⇒ x = - 40 or x = 30
But x can not be negative.
Hence, the merchant buys 30 shirts originally. (Answer)