question 3 (17 points)\nyou decide to purchase a piece of property in hopes of starting a business. you plan…

question 3 (17 points)\nyou decide to purchase a piece of property in hopes of starting a business. you plan to turn the property into an event parking lot. you want to figure out how many spaces to designate for cars and how many spaces for buses to maximize profit. each car requires 340 square feet of space, and each bus requires 960 square feet of space. you have 30,000 square feet of parking space in the property that you purchased and can handle no more than 50 vehicles per event. the profit from each car is $10, and the profit from each bus is $30. write the inequalities that represent the constraints. let c represent the number of cars, and b represent the number of buses.\n$c + b \\leq 50$\n$340c + 960b \\geq 30000$\n$10b + 30c \\leq 50$\n$340c + 960b \\leq 30000$
Answer
Explanation:
Step1: Identify vehicle count constraint
Total vehicles ≤ 50, so $c + b \leq 50$
Step2: Identify space usage constraint
Total space used ≤ 30000 sq ft, so $340c + 960b \leq 30000$
Step3: Eliminate incorrect options
Other options misrepresent constraints (reverse inequality, wrong variables/values).
Answer:
$\boldsymbol{c + b \leq 50}$ $\boldsymbol{340c + 960b \leq 30000}$