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Constraints: Semester Limit: Johnny can only take up to five courses every semester. This may be expressed for each semester j as: Σ(X_ij) <= 5 for all j (Jan, July) Required January Course: Σ(X_1j) >= 3 for j = Jan where the summation iterates only over courses 1 (Quantitative Methods), 2 (Business Application & Modeling), 3 (Economic Theory), 6 (Data Mining I), and 20 (Business Communications). Prerequisite Course: A course can only be taken if all of its requirements have been fulfilled or are being taken concurrently. This may be described using the following constraints: X_ij <= Σ(X_kj) for all courses i, j (Jan, July) where k is a prerequisite of course i Text Mining vs. Natural Language Processing: X_8j + X_14j <= 1 for j = Jan/July (any semester) Minimum Course Constraints: Johnny takes at least one course in Digital Marketing and one in Supply Chain Management. =X_10+ X_(11 )≥1 ( Digital Marketing Constraint) =X_12+ X_(13 )≥1 ( Supply Chain Management Constraint) Based on the above information, Construct a spreadsheet model for your formulated optimization model in Q1(a) using the Excel solver to solve the optimal solutions.