Question 916733
You are selling banana bread that costs P 5 each. Each week, you have 50
customers. When you decrease the price by P1, you expect 30 customers to be
added. What is the price of the banana bread that yields a maximum profit?
a. Analyze the problem.
b. What is the weekly sale if the cost of the banana bread is P5?
c. If the revenue (R) = number of bread x bread price. Write the equation of
the quadratic function given the situation above?
d. What is the price that yields the maximum revenue?
e. Find the maximum revenue.


b.
<pre>Weekly sale, at original price of P 5, and customer-count (sales units) of 50: 5(50), or P 250
</pre>
c.
<pre>{{{R(x) = - 30x^2 + 100x + 250}}} 
</pre>
d.
<pre>Reduced price that yields maximum revenue: {{{highlight_green(matrix(1,2, P, 3.33))}}}
</pre>
e.
<pre>Maximum revenue derived from reduced price of P 3.33, and increased customer-count (sales units) of 100: P{{{highlight_green("$333.33")}}}
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