please can you help solve this and how to write the equation of budget line and more explanation

3. (12 points) Sarah consumes only two goods, which can be divided into fractions: apples (x1) and books (x2). Assume the price of books is p2 = 1. Suppose you know that, if she consumes 5 books, she can buy at most 10 apples. And if she consumes 8 books, she can buy at most 4 apples. Sarah can buy any non-negative real number of apples and books, namely fractions are allowed. (a) (5) Determine her income (m) and the price of apples (p1). Write out the equation of her budget line. Draw this on a graph (clearly marking the axes and intercepts) and indicate her budget set. (b) (7) Suppose the government taxes Sarah's apple consumption in the following way: for each apple consumed, Sarah must pay a tax of t = 0.5. Write out the equation for her new budget line, and draw it on a graph