Wendy drinks $10$ sugary drinks and $4$ smoothies a week. Smoothies are $$5$ each and

sugary drinks were $$2$ each. This week, things are different: the government has slapped

a tax on sugary drinks and their price has doubled to $$4.$ But it$$s not all bad news for

Wendy. The government has also revised the income tax, so Wendy$$s drinks budget has

increased. She can now just afford to buy her usual $10$ sugary drinks and $4$ smoothies a

week.

a$.$ What was Wendy$$s drinks $($sugary drinks and smoothies$)$ budget last week and

what is it this week.

b$.$ What was Wendy$$s opportunity cost of a sugary drink last week and what is it

this week?

c$.$ Does Wendy buy $10$ sugary drinks and $4$ smoothies this week? Explain.

d$.$ Draw Wendy$$s budget line for drinks for last week by taking smoothies on

vertical axis and sugary drinks on horizontal axis. What is the slop of budget

line?

e$.$ Draw Wendy$$s budget line for drinks for this week on the same graph. How the

new budget line is different from the old one.