Math Help!

a) We sold 70 Units, so 70 * 72$(Sale Prize) = 5040$ So our income for 70 Units is 5040$

b) 30% of 430 Max Capacity = 430 / 100 *30 = 129 Units

First we get our income (like "a"): 129 * 72$(Sale Prize) = 9288$

Second we need our production costs for 129 Units: $35 + 10$ = "45$ production costs per unit"

129 * 45$ = 5805$ Production costs for 129 Units

Next Fixed Costs for the whole Production + Production Costs for 129 Units

4800$ + 5802$ = 10605$

So the profit / loss for selling and production of 129 Unit (30%) is = 9288$ Income - 10605$ Production Costs

= -1317$ Loss


C) Net Income assuming total sales of $23,400

First Income divided with sale prize for one unit

23400$ / 72$ = 325 Units

This means we sold 325 Units to get an income of 23400$ now we need the NET Income for 325 Units:

325 * 45$ (production costs per unit) = 14625$ + Fixed Costs 4800$ = 19425$ Costs for the Whole Production

So the Net Income is: 23400$ - 19425$ = 3975$ NET INCOME


d) we need to achieve a Net Income of 5000$

First we need the net income for one unit without the fixed costs:

72$(sale prize) - 45$(production costs per unit) = 27$

Now we can say :

x*27 - 4800 = 5000 |+4800
x*27 = 9800 | /27
x = 362,96... ~ 363 Units

So we need at least 363 Units to achieve a Net Income of 5000$, because: 363 Units * 27$ (72$-45$) = 9801$ - Fixed Costs(4800$) = 5001$ Net Income!!!