You can compute the cost of 5000, and 5001 mowers from the formula, then subtract. Another method is to take the derivative of the cost function with respect to n, giving you the cost per mower...
C=200n+150000
dC/dn=200 dollars
To compute the cost difference between buying 5000 and 5001 mowers using the formula C = 200n + 150,000, you can simply substitute the respective values for n into the formula and subtract the two results.
For 5000 mowers:
C = 200(5000) + 150,000
C = 1,000,000 + 150,000
C = 1,150,000 dollars
For 5001 mowers:
C = 200(5001) + 150,000
C = 1,000,200 + 150,000
C = 1,150,200 dollars
To find the cost difference, subtract the cost of 5000 mowers from the cost of 5001 mowers:
1,150,200 - 1,150,000 = 200 dollars
Therefore, the cost difference between buying 5000 and 5001 mowers is 200 dollars.
Alternatively, you mentioned taking the derivative of the cost function with respect to n, which gives you the cost per mower. The derivative of C with respect to n is dC/dn = 200 dollars. This means that for every additional mower you purchase, the cost increases by 200 dollars.