Question 1
Paper 1Medium6 marksA manufacturer models its profit, in thousands of dollars, when producing thousand units, by
The model is shown in Figure 1.
(a)[2]
Using a GDC, determine the values of at which the gradient of the curve is zero. Give your answers to 1 decimal place.
(b)[2]
Hence, find the coordinates of both stationary points and state whether each is a local maximum or a local minimum. Give the profit coordinates to 2 decimal places.
(c)[2]
The owner claims that the local maximum gives the greatest profit in the model’s domain. Use Figure 1 to decide whether this claim is correct. Justify your answer.