Suppose that the market demand curve for pasta is a straight line of the form Q $=$$300-50$P where Q is the quantity of pasta bought in thousands of boxes per week and P is the price per box $($in dollars$).$ Show the steps.

a$.$ At what price does the demand for pasta go to zero? Is demand elastic,

inelastic or unit elastic at this point?

b$.$ How much pasta is demanded at a price of zero? Is demand elastic, inelastic

or unit elastic at this point?

c$.$ How much pasta is demanded at a price of $$3?$ Develop a numerical example

that suggests that total spending on pasta is as large as possible at this price.