MPc with linear objective function and multiple binary constraints

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Thanks in advance..
I am in need to design an MPC with linear objective fuction and binary constraints, inequality constraints.
for example i have a simple linear model for a patient, i need to design an MPC for patient food recommendation.
i have binary constraints like the patient must take food three times and inequality constraint from model.
MPC output will be a CHO content present in patient food.
can i use intlinprog for this problem.
can anyone kindly share the example problem like this with matlab code.

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