An environmental firm has just been offered a large mandate by the municipality to tour the businesses and industries of the region to verify both the toxicity of the products they use and those they release into the environment. The firm estimates that an audit will take 15 hours for products used in a business and 20 hours to audit the products released by an industry.

The firm employs five technicians, each working 35 hours per week. The city wants this mandate to be completed in 12 weeks or less. Aware that the task will be difficult, the city requires that at least half of the 120 businesses be audited for products used and that atlas one-third of the thirty businesses be audited for reals of products in the environment

What are the inequalities?