minimize a+b+c >= 4 , a+2*b+4*c>=5 in matlab

To minimize the given set of linear inequalities, we can use the linprog function in MATLAB. Here is the code:

main.m
A = [-1 -1 -1; -1 -2 -4];  % coefficients of a, b, c in the inequalities
B = [-4; -5];  % RHS values of the inequalities
f = [1; 1; 1];  % coefficients of a, b, c in the objective function

[x, fval] = linprog(f, A, B);  % minimizing the objective function subject to the constraints

fprintf('Minimum value of a + b + c: %f\n', fval);  % printing the minimized value
fprintf('a = %f, b = %f, c = %f\n', x(1), x(2), x(3));  % printing the values of a, b, c that minimize the objective function
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The output will show the minimized value of a + b + c, as well as the specific values of a, b, and c that satisfy the given inequalities and minimize the objective function.

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