Marsden company has three departments occupying the following amount of floor space: department 1 15,000 sq. ft. department 2 10,000 sq. ft. department 3 25,000 sq. ft. how much store rent should be allocated to department 3 if total rent is equal to $200,000?

the store rent that should be allocated in department 3 is $100000

Explanation:

if we assume that we charge the rent per square feet occupied, then we can say

department rent = charge per square feet* number of square feets

r = k*sf

also if

total rent = rent department 1 + rent department 2  + rent department 3

r total = r1 + r2 + r3 = k*sf1 + k*sf2 + k*sf3 = k*( sf1 + sf2 + sf3)

k= r total / ( sf1 + sf2 + sf3)

replacing values

k = $200000/(15000 sq.ft + 10000 sq.ft +25000 sq.ft ) = $ 4 per sq.ft

thus for department 3

r3 = k* sf3= $ 4 per sq.ft * 25000 sq.ft = $100000

rent department 3 = $100000

a)Heat and work are PATH dependent variable  

Path depended variable are those which in order to make a change in the system are concerned about the amount of heat or work transferred or moved in or out of the material within the system or the system as a whole. These variables are not depended on the state of the material before and after the process and but are dependent on the path followed during the process to bring change in the system.  

b)INTERNAL ENERGY, ENTROPY AND PRESSURE of the system are state function. These functions depend on the only on the initial and final state of the system or material and are not dependent on the path followed.