Maximizing Profit: Solving a Quadratic Equation for Mango Sales

In summary, a quadratic equation is a second-degree polynomial that follows a parabolic pattern when graphed. It can be used to model real-life situations and has two types of solutions: real and complex. The equation can be solved through factoring or using the quadratic formula. To graph a quadratic equation, the vertex and two other points can be found using specific formulas or through a graphing calculator.
  • #1
paulmdrdo1
385
0
Please help me continue this problem

A market vendor bought a crate of mangoes for 55 peso. when the crate was opened he found that 4 pieces were not fit to be sold. If he sells the rest at 80 cents more than the buying price, he gets a profit of 8 peso for these remaining mangoes. How many mangoes were in the crate?

The only thing I know is

$\left(\frac{55}{x}+0.8\right)(x-4)=??$

I'm stuck! :(
 
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  • #2
If his cost is 55 pesos, and his profit is 8 pesos, what is the total selling price in all?
 

FAQ: Maximizing Profit: Solving a Quadratic Equation for Mango Sales

1. What is a quadratic equation?

A quadratic equation is a polynomial equation of the form ax^2 + bx + c = 0, where a, b, and c are constants and x is the variable. It is a second-degree polynomial and has the general form of a parabola when graphed.

2. How is a quadratic equation used in modelling?

A quadratic equation can be used to model real-life situations where there is a relationship between two variables that follows a parabolic pattern. For example, it can be used to model the trajectory of a ball thrown in the air, or the profit of a company as it increases production.

3. What is the process of solving a quadratic equation?

The standard method for solving a quadratic equation is by factoring, where the equation is rewritten in its factored form and the solutions are found by setting each factor equal to zero. Alternatively, the quadratic formula can be used to find the solutions by plugging in the values of a, b, and c into the formula.

4. What are the types of solutions for a quadratic equation?

A quadratic equation can have two types of solutions: real and complex. Real solutions are values that make the equation true when plugged in, while complex solutions involve the use of imaginary numbers. The number of solutions depends on the discriminant, which is b^2 - 4ac, where if the discriminant is positive there are two real solutions, if it is zero there is one real solution, and if it is negative there are two complex solutions.

5. How can a quadratic equation be graphed?

The graph of a quadratic equation is a parabola, which can be plotted by finding the vertex, which is the highest or lowest point on the graph, and two other points on either side of the vertex. The vertex can be found using the formula x = -b/2a, and the other points can be found by plugging in values of x and solving for y. The graph can also be obtained using a graphing calculator or software.

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