Xyz inc produces two types of calculators financial and scientific. Each financial calculator generates 50 profit and each scientific calculator generates 30 profit. the company has 100 bases for production and each calculator requires one of those bases. It takes 2 mins to assemble 1 finincial calc and 3 mins to assemble 1 scientific calc. the assembly department has no more than 100 mins available for production of the two models, a contract of 50 financial calcs has to be fulfilled. the objective is to find the optimal number of financial and scientific calculators that maximimizes profit given the constraints. Provide the mathematical problem. Do not solve it