Problem:
A publisher has orders for 600 copies of a certain text from San Francisco and 400 copies from Sacramento. The company has 700 copies in a warehouse in Novato and 800 copies in a warehouse in Lodi. It costs $5 to ship a text from Novato to San Francisco, but it costs $10 to ship it to Sacramento. It costs $15 to ship a text from Lodi to San Francisco, but it costs $4 to ship it from Lodi to Sacramento.
Required:
Question 1) Write a linear program that calculates the number of copies that the company should ship from each warehouse to San Francisco and Sacramento to fill the order at the least cost. Provide thorough explanation of the given question.