Quadratic Functions and Equations in Financial Context — Quiz
Question 44 • Financial Math
The price that companies set for a product is determined by market demand. The graph d(x)=−0.036x^2−0.09x+6,000 represents the demand, where x is the number of units. Expand Image Which statement is true about the solution in terms of the situation? Round to the nearest whole number.
Answer
A
When 410 units are produced, the demand is 0.
B
When 6 comma 000 units are produced, the demand is at the maximum of 1 point 2 5.
C
When 407 units are produced, the demand is 0.
D
When 0 units are produced, the demand is at the maximum of 6 comma 000.
Explanation
To find how many units make demand zero, set d(x) = 0 and solve −0.036x² − 0.09x + 6,000 = 0. The positive solution is about 406.99, which rounds to 407, so the true statement is “When 407 units are produced, the demand is 0.”
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