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Max/Min Problem – Maximizing Revenue, Selling Calculators

Q: Calculators are sold to students for 20 dollars each. Three hundred students are willing to buy them at that price. For every 5 dollar increase in price, there are 30 fewer students willing to buy the calculator. What selling price will produce the maximum revenue and what will the maximum revenue be?

A: . . . → Read More: Max/Min Problem – Maximizing Revenue, Selling Calculators

Completing the Square when a doesn’t equal 1

b) Convert to standard form by completing the square:

Step 1: In this case, a=2, so we need to do something different: factor out the 2, but only for the x terms:

Now take half of the b term (in this case, b=2) and square it.

Step 2: Important: Add that . . . → Read More: Completing the Square when a doesn’t equal 1

Completing the square when a is negative

c)Convert to standard form by completing the square:

Step 1: In this case, a=-2, so factor out the -2 term, but only for the x terms:

Now take half of the b term (in this case, b=(3/2)) and square it.

Step 2: Important: Add that number to the equation inside the . . . → Read More: Completing the square when a is negative