1. emily has $100 extra to spend on supplies for her t-shirt-making business. she wants to buy ink, i, which costs $4 a bottle, and new brushes, b, which are $15 each. which inequality below represents this scenario? 4i + 100 15b 15i + 4b 100 4i + 15b 100 15i + 4b 100 2. jon owns a clothing store where he designs pairs of shorts, s, and t-shirts, t. he sells shorts for $14 and t-shirts for $6 each. jon can work 12 hours a day, at most. it takes him 15 minutes to design a t-shirt and an hour to design a pair of shorts. he must design at least 12 items each day, but he cannot design more than 20 items in one day. write 5 inequalities that represent the explicit and assumed constraints in the problem.( change times to hours) 3. john owns a clothing store that sells shorts and graphic t-shirts. he sells the shorts for $12 each and t-shirts for $5 each. he is limited to the constraints shown by the set of inequalities below. which of the points (s, t) will maximize john's revenue? show all work to get full credit! ( start by finding the profit function) s< 10 - 0.5t s> 5-t s< 20-t s> 0 t> 0 4. phoebe owns a clothing store that designs t-shirts and shorts. she sells the t-shirts for $5 each and the shorts for $16 each. she can work 12 hours a day at most. it takes her 15 minutes to design a t-shirt and 30 minutes to design a pair of shorts. she must design at least 15 items a day, but cannot design more than 25 items in a day. which of the values below is the maximum revenue phoebe can make with these constraints? ( start by finding the revenue function) 5. a clothing design company pays two different people to design its t-shirts. the company pays person a $8 an hour and pays person b $12. person a cannot work more than twice as many hours as person b, but they cannot work more than 20 hours total. person a makes the company a profit of $10 an hour, and person b makes the company a profit of $20 an hour. if the company wants to make at least $150 in profit, what value will minimize the cost to the company? show all work to get full credit.