If the polynomials 2x + ax^+ 3x - 5 and x + x² - 4x + a leave the same remainder
when divided by x-2, find the value of a.
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Problem #1. A local boutique produced two designs of gowns A and B and has the following materials
available: 18 square meters of cotton, and 20 square meters of silk, and 5 square meters of wool. Design A
requires the following: 3 square meters of cotton, 2 square meters of silk and 1 square meter of wool. Design B
requires the following: 2 square meters of cotton, 4 square meters of silk. If the Design A sells for P1,200 and
Design B for P1,600, how many of each garment should the boutique produce to obtain the maximum amount
of money?
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