1. Dave and Frank opened up a Pizza place and recently went through inventory and found that they have $5,000 worth of sauce, $2,000 worth of dough, and $ 1,000 worth of cheese. They also have two ovens worth 5,000 each and other equipment worth 2,000. If they currently owe the bank 7,500. How much did they contribute to the business? 2. The Cupcake Queen owed by Gina started with a loan from her parents for 35,000 and a loan from the bank for 10,000. She currently owns two mixers worth 3,500, mixing bowls, measure spoons, and other accessories worth 5,000. Her equipment for her shop is worth $6,000 and her building is worth 900,000. How much money did Gina invest in the business?

3. Never Just One Cup sells coffee and other sweet treats which was started by Kelly with 8,600. If her assets total 10,200, how much does she owe the bank?

You are the manager of a firm that produces output in two plants. the demand for your firm's product is p = 20 − q, where q = q1 + q2. the marginal costs associated with producing in the two plants are mc1 = 2 and mc2 = 2q2. how much output should be produced in plant 1 in order to maximize profits?

Following is a list of various costs incurred in producing replacement automobile parts. with respect to the production and sale of these auto parts, classify each cost as either variable costs, fixed costs, or mixed costs. 1. oil used in manufacturing equipment 2. plastic 3. property taxes, $165,000 per year on factory building and equipment 4. salary of plant manager 5. cost of labor for hourly workers 6. packaging 7. factory cleaning costs, $6,000 per month 8. metal 9. rent on warehouse, $10,000 per month plus $25 per square foot of storage used 10. property insurance premiums, $3,600 per month plus $0.01 for each dollar of property over $1,200,000 11. straight-line depreciation on the production equipment 12. hourly wages of machine operators 13. electricity costs, $0.20 per kilowatt-hour 14. computer chip (purchased from a vendor) 15. pension cost, $1.00 per employee hour on the job

Cynthia is a hospitality worker in the lodging industry who prefers to cater to small groups of people. she might want to open a