$\backslash$table$[[,$Steak & Cheese,Steak & Cheese,Grilled Chicken,Grilled Chicken$],[$Quantity$,$MU$,$MU$/$P$,$MU$,$MU$/$P$],[1,40,10,30,15],[2,32,8,24,12],[3,20,5,16,8],[4,12,3,12,6],[5,6,1\mathrm{.}5,8,4],[6,2,0\mathrm{.}5,4,2]]$

For steak and cheese sandwiches and grilled chicken sandwiches, the table contains the values of the marginal utility $($MU$)$ and marginal utility per dollar $($MU$/$P$)$ for Mabel Jarvis. Mabel has $$14$ to spend on steak and cheese sandwiches and grilled chicken sandwiches. Which of the following statements is false?

a$.$ The price of steak and cheese sandwiches is $$4.$ The price of grilled chicken sandwiches is $$2.$

b$.$ If Mabel maximizes her utility she will buy three grilled chicken sandwiches.

c$.$ If Mabel maximizes her utility she will buy two steak and cheese sandwiches.

d$.$ We do not have enough information to determine how many sandwiches Mabel will buy to maximize her utility.