Linear programming is an operation research technique which is widely used in finding solutions to managerial decision making problems of allocating scarce resources in order to maximize profit and minimize cost. This paper deals with the application of the optimization principle .It examined unit cost of production, the selling price and the quantity of different raw materials used in production and the available raw materials in stock weekly to determine the optimal profit of a popular local bakery Shukura Bakery, Zaria, Kaduna State, Nigeria using linear programming technique. Four types of bread produced by the bakery namely; small loaf, medium loaf, family loaf and slice family loaf were considered in the research. A model for the problem was formulated and optimum results derived using software that employed simplex method. The result shows that the family loaf 𝑥3 contributes more to the profit made and therefore, should be produced more by the Bakery.