Answer:
p=1, q=5. (1, 5).
Step-by-step explanation:
8p+7q=43
2-7=-q
------------------
-q=-5
q=5
--------
8p+7(5)=43
8p+35=43
8p=43-35
8p=8
p=8/8=1
so the company has an overhead of $600, usually that involves premises leasing and industrial equipment for the manufacturing of the product, that's cost. The cost to make each item is 50 cents, so if the company produces "x" items, their cost is 0.5x total.
so our cost equation C(x) = 0.5x + 600 <---- items' cost plus overhead.
the company sells the product for 85 cents, so if they sell "x" items, their total revenue or income will be 0.85x.
so our revenue equation is simply R(x) = 0.85x.
as you already know, the break-even point is when.... well, you break even, no losses but no gains either, how much you take in is the same amount that you shelled out, namely R(x) = C(x).

Answer:
Let's define:
C = number of pandesal with cheese that you sell
U = number of pandesal with ube that you sell.
If you sell these numbers of each, the total profit you get is:
C*8.00 pesos + U*9.00 pesos.
And yo want to get at least 180 pesos, then:
C*8.00 pesos + U*9.00 pesos ≥ 180 pesos.
And you also want to sell two of each, then:
C ≥ 2
U ≥2
So the system of inequalities is:
C*8.00 pesos + U*9.00 pesos ≥ 180 pesos.
C ≥ 2
U ≥2
If U is on the x-axis, and C is on the y-axis, then the graph is: (where the region at the right of the vertical line should be shaded)
Answer:
Denote the amount of miles she will run in 24 minutes: x
=> x/24 = 7/60 (same rate)
=> x = 7x24/60 = 2.8 (miles)
Answer:
The null hypo would be the difference is greater than 0
so the alternate hypothesis would be less than or equal to 0
H1: µd ≤ 0