Complex sentence: After contract award, and during the course of the contract, the coefficient will be used to calculate the price for each project which will be the preset unit prices multiplied by the quantity multiplied by the coefficient.
Split into simpler sentences: After contract award, and during the course of the contract, the coefficient will be used to calculate the price for each project. The price for each project will be the preset unit prices multiplied by the quantity multiplied by the coefficient.