5. Consider the following variation on the Meal Plan scenario. i. There are still 210 total meals so that our first constraint is B + L + D =210, where B is the number of breakfasts chosen, L is the number of lunches and D is the number of dinners. ii. You are now allowed to have 2 breakfasts, lunches or dinners on the same day, so each variable can equal an integer between 0 and 210. iii. The prices have changed so that each breakfast costs $5, lunch costs $8, and dinners cost $12, and the total amount you can spend is $1800, i.e., our second constraint is 5B + 8L +12D = 1800. a. (4 points) List two different (B, L, D) triplets that satisfy these constraints. b. (6 points) The system of two linear equations that describes this scenario is provided below along with the associated augmented matrix and row reduced form. From this write (1) the General Solution and also (2) a Parametric Vector Solution. System of equations Augmented matrix Row reduced matrix B +L +D=210 1 1 1 210 0 -4/3 -401 5B + 8L +12D = 1800 5 8 12 1800 0 1 7/3 250