1. Malcolm and Skylar both work as bricklayers. Malcolm can lay 30 bricks/hr and Skylar can lay 40 bricks/hr. Together, they need to lay a minimum of 500 bricks each working day.
a) Write an inequality that models the situation.
b) Graph the inequality.
c) Give two different combinations of hours that satisfy the
inequality.
d) What real-life limitation comes into play in a question like this?
2. A sporting goods store orders hockey skates and gloves from the same supplier. Every week, they order at least 40 items. Skates cost the store $150 each and gloves cost $40 each. The store does not want to spend more than $4000/week.
a) Write out the system of linear inequalities that models this situation.
b) Graph the system, including all key points.
c) Give at least two combinations of items that the store can buy.
3. A farmer has a field of 60 acres in which he plants potatoes and turnip. The seed for potatoes costs $15 per acre, the seed for turnip costs $50 per acre and the farmer has set aside $2125 to spend on seed. The profit per acre of potatoes is $200 and the profit for turnip is $60 an acre. Find the number of acres of potato and turnip that needs to be planted to maximize the profit for the farmer.