Abakery has fixed costs for retail space, electricity, and appliances of $15,000. the variable cost of baking a cookie is 0.25 and the variable cost of baking a cake is $3.53. what is the total cost of 400 dozen cookies and 200 cakes

Step-by-step explanation:

That $15,000 sounds like an annual amount, not a monthly or weekly amount.  In the absence of clarification of this, I will include that $15,000 in the following calculations:

Let the # of cookies baked be z and the number of cakes be k.

Then:

Total cost = $15,000 + ($0.25/cookie)z + ($3.53/cake)k

In this specific case, where the number of cookies is z and the number of cakes is k, the formula  

Total cost = $15,000 + ($0.25/cookie)z + ($3.53/cake)k

becomes ...

Total cost (z, k)  = $15,000 + ($0.25/cookie)(400) + ($3.53/cake)(200),

and this works out to:

TC (z, k) = $15,000 + $100 + $706 = $15,000 + $806 = $15,806.

No cakes or cookies could be good enough to warrant production costs that high!

Double-check to ensure that you have copied this problem down completely and accurately.

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional