A stаrt-up plаns tо stоre а large amоunt of data when they open their business. The startup needs gigabytes for data storage in the first year of business. This data storage can be obtained from either supplier 1, supplier 2, or both. Obtaining data storage from supplier 1 requires the start up to pay a yearly membership fee of dollars. Once paid, Up to 400 gigabytes of cloud storage are available at dollars per gigabyte Up to 300 hard drives, each containing 100 gigabytes of storage, can be purchased at dollars per hard drive Obtaining data storage from supplier 2 requires the start up to pay a yearly membership fee of dollars. Once paid, Up to 500 gigabytes of cloud storage are available at dollars per gigabyte Up to 20 hard drives, each containing 1000 gigabytes of storage, can be purchased at dollars per hard drive The startup plans to purchase all data storage needed, using available cloud storage and hard drives described above, after signing up for the needed yearly membership. Any extra gigabytes purchased from cloud storage or hard drives beyond the gigabytes required cost the startup 2 dollars per gigabyte (a regulatory fee). The startup has two additional requirements. Either at most 100 or at least 300 gigabytes of cloud storage should be purchased from Supplier 2. If more than 2000 gigabytes of hard drive storage are purchased total, from both suppliers, then at least 200 gigabytes of cloud storage should be purchased from Supplier 1. Formulate an integer program to acquire the needed data storage at minimum cost.