#$2)$ What does the shadow price tell us regarding the LP$?$

is the difference between the optimised value of the objective function and the value of the ojective function

#$3)$ Solve the following LP

Maximize $$4x+$$$3y$

Subject to

$2x+4y80$

$3x+6y30$

$-3x+10y0$

$x,y0$

a$)$ Write the original optimal solution and objective function value.

b$)$ What is the optimal solution and objective function value if the profit per unit of $x$ decreases to $$1?$

c$)$ What is the optimal solution and objective function value if the first constraint changes to $2x+4y90$

d$)$ What is the optimal solution and objective function value if the third constraint changes to $-3x+10y0?$