Figure 10-1 Figure 10-1 Represents the Demand for Ice

Figure 10-1 Figure 10-1 represents the demand for ice cream cones.
-Refer to Figure 10-1.Which of the following statements is true?

A) Points a and b are the utility-maximizing quantities of ice-cream cones at two different prices of ice-cream.
B) Points a and b may not necessarily be the utility-maximizing quantities of ice-cream cones at two different prices because we have no information on the consumer's budget or the price of other goods.
C) Point a could be a utility-maximizing choice if the price is $3 but point b may not be because we have no information on the marginal utility per dollar when price changes.
D) Points a and b are derived independently of the utility-maximizing model.