Unit 8 Homework - Practice Questions
1. You have to load the part boxes for three people. Joe needs twice as many parts as Bill does, and Fred needs three times as many parts. You’ve got 108 parts. How many parts go in Bill’s box, Joe’s box and Fred’s box?
2. On your assembly line, Allan needs 5 wingnuts; Bert needs 3 and Charley needs 6. You have 420 wingnuts. How many should you provide Allen, Bert and Charley to have each one has enough to do their part of the assembly?
3. It’s cookie and candy baking time! You have 396 pecan halves. You plan to make turtles, which take 5 pecan halves, a caramel and a chocolate kiss; you plan to make pecan cupcakes, which take 3 pecan halves on the icing as a topping, and you plan to make 6 turtles to go with each cupcake in a gift bag. How many cupcakes, and how many turtles will you have to make?
4. You have a supply of 126 bolts that will be used for making tables. Attaching the legs to the skirt of the table will take four bolts; attaching the tabletop to the frame will take 5 bolts. How many tables will you be able to make?
5. You are making backpacks for a missionary to give to school children where the missionary ministers. Each backpack will have a children's bible, two pencils, a notebook, and an eraser. For the youngest children, there will be a stuffed, fuzzy toy, a box of crayons and a pen. The children in the middle group will get two pens, a ruler and an extra pencil. The oldest group of children will the ruler, a compass, and three pens as well as the rest of the material. There are 212 pencils, 188 pens and 92 backpacks. How many children at each age group?
6.You plan to start making gribbets. You are able to rent a facility for $200 a month, and you have three folks who will put in two hours a night, three days a week, making gribbets with you. Each of them will receive $300 a month. To make a gribbet, you need 4 whoozits at $3 per whoozit; you need 2 gimcracks for the whoozits to connect between, at $4 per gimcrack; and it takes a gadget to be in the middle, at $8 per gadget. You and your team can make 450 gribbets per month. You figure you can sell your gribbets for $35 each. Calculate the fixed costs per gribbet, and the variable cost per gribbet, the “break even” price for a gribbet and the profit or loss per month on those 450 gribbets.
7. You decide to make cake mix cookies to sell. Boxed chocolate cake mix is $4; eggs are $4/dozen; oil is $3/pint; and crushed mint hard candies, at $3/lb. You need one boxed mix and one egg per recipe; a pint of oil will make 10 recipes; and a pound of crushed mint hard candies will make 5 recipes. The recipe makes 30 cookies. Bags and twist ties to bag up the cookies each cost $3/100. A store has agreed to buy your cookies at $1.50 for a bag of 6 cookies. You will use your own kitchen and cookware, to pay an extra $25/month for power, and an extra $30/month for water and such to wash up. You plan to make 500 bags of 6 cookies a month, so it will take 100 recipes to do it all. What is the fixed cost per bag of 6 cookies? What is the variable cost of a bag of 6 cookies? What is the total cost of a bag of 6 cookies? What is the net profit of selling 500 bags of cookies at $1.50 each? The cookies sell like crazy, and the buyer is willing to pay you $1.75 for the sixpack of cookies, if you’ll make 1000 sixpacks. What will the profit be?