A pharmacy has determined that a healthy person should receive 70 units of proteins, 100 units of carbohydrates and 20 units of fat daily. If the store carries the six types of health food with their ingredients as shown in the table below, what blend of foods satisfies the requirements at minimum cost to the pharmacy? Make a mathematical model for the given problem.

On january 1, 2015, jon sports has a bond payable of $200,000. during 2015, it pays off $20,000 of the outstanding bond principal and issues a new $70,000 bond. there are no other transactions related to the bond payable account. what is jon sports' december 31, 2015, bond payable balance?

Asap ! 1. evaluate the following and simplify if possible when pie = 22 11/pie = 2. evaluate the following and simplify if possible when pie = 11 and y = 5 pie/12 - y/12 = 3. evaluate the following and simplify if possible when pie = 5 : 3/pie + 2/ pie = 4. evaluate the following and simplify if possible when pie = 5 : 3/pie + 2/pie = 5. evaluate the following and simplify if possible when pie = 6 and y = 10: x/y = 6. evaluate the following and simplify if possible when pie = 6: pie/9 7. evaluate the following and simplify if possible when pie = 5 and y = 20: pie/y = 8. evaluate the following and simplify if possible when pie = 4 and y = 24: pie/y = 9. evaluate the following and simplify if possible when pie = 6 5/pie = 10. evaluate the following and simplify if possible when pie = 21 4/7 + 2/pie = 11. evaluate the following and simplify if possible when pie = 3 and y = 1 pie/10 + y/5 = 12.evaluate the following and simplify if possible when pie = 8 pie/10 =

The following cost data relate to the manufacturing activities of chang company during the just completed year: manufacturing overhead costs incurred: indirect materials $ 15,800 indirect labor 138,000 property taxes, factory 8,800 utilities, factory 78,000 depreciation, factory 150,600 insurance, factory 10,800 total actual manufacturing overhead costs incurred $ 402,000 other costs incurred: purchases of raw materials (both direct and indirect) $ 408,000 direct labor cost $ 68,000 inventories: raw materials, beginning $ 20,800 raw materials, ending $ 30,800 work in process, beginning $ 40,800 work in process, ending $ 70,800 the company uses a predetermined overhead rate of $20 per machine-hour to apply overhead cost to jobs. a total of 20,500 machine-hours were used during the year. required: 1. compute the amount of underapplied or overapplied overhead cost for the year. 2. prepare a schedule of cost of goods manufactured for the year.