The statement that shows the correct relationship between production cost and the number of golf balls produced is that the minimum production cost of 17.5 occurs when 35 golf balls are produced.
Then the minimum is represented by the formula;
c - b² / 4a
We have given equation C(x) = 0.1x² - 7x + 140:
a = 0.1
b = -7
c = 140
Now plugging in values to c - b² / 2a
140 - 7² / (4 * 0.1) = 17.5
The minimum production cost will be; 17.5
Now plugging 35 into the given equation;
C(x) = 0.1x² - 7x + 140
C(x) = 0.1 ( 35)² - 7 (35) + 140
C(x) = 17.5
Therefore, 35 golf balls produce the minimum cost.
Complete Qestion:
The daily production costs for a golf ball manufacturer can be modeled with the function C(x) = 0.1x2 - 7x + 140, where C(x) is the total cost and x is the number of golf balls produced per hour. Use the graph to answer the question.
Graph of function c of x equals 0 point 1 x squared minus 7 x plus 140. The graph has the axis labeled as number of golf balls produced, and the y-axis labeled as cost. The curve begins at (0, 140), decreases to (35, 17.5), and then increases to infinity.
Which statement shows the correct relationship between production cost and number of golf balls produced?