Please solve all.

Thank you in advance.

Solve the linear programming problem. (If there is no solution, enter NO SOLUTION.) Minimize z = X + y Subject to 5x + y 2 36 x + 5y 2 36 X S 25 y S 25 Minimum value is z = x at (x, y) = ( x I x ) Additional Materials L3 eBook Submit Answer '3 Points] DETAILS TEAFMZ 3.3.026. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER An individual needs a daily supplement of at least 399 units of vitamin C and 306 of vitamin E and agrees to obtain this supplement by eating two foods, I and 11. Each ounce of food I contains 38 units of vitamin C and 17 units of vitamin E, while each ounce of food 11 contains 19 units of vitamin C and also 34 units of vitamin E. The total supplement of these two foods must be at most 32 ounces. Unfortunately, food I contains 19 units of cholesterol per ounce and food 11 contains 11 units of cholesterol per ounce. Find the appropriate amounts of the two food supplements so that cholesterol is minimized. Find the minimum amount of cholesterol. amount of food I 02 amount of food 11 02 minimum cholesterol units Find the system of linear inequalities that corresponds to the system shown. 14x + By 2 4X + 16y s -10X + 7y 2 Find all the corner points of the feasible region. (Order your answers from smallest to largest x, then from smallest to largest y.) (X! y) = ( I ) (smaIIESt X-value) (x,y)=( , ) (X, y) = ( , ) (largest x-value)