If 3(y + 10) = 18, find the value of 1/8y
2 answers:
You might be interested in
Answer:
The maximum profit is when they make 10 units of A and 2 units of B.
Step-by-step explanation:
Let x is units of milk
Let y units of cacao
Given that :
The company's production plant has a total of 22 units of milk and 46 units of cacao available.
2x + y ≤ 22 (2 unit of milk for each of A and 1 for B; 22 units available)
4x + 3y ≤46 (4 unit of milk for each of A and 3 for B; 46 units available
Graph the constraint equations and find the point of intersection to determine the feasibility region.
The intersection point (algebraically, or from the graph) is (10, 2)
The objective function for the problem is the total profit, which is $6.2 per unit for A and $4.2 per unit for B: 6.2x + 4.2y.
Hence, we substitute (10, 2) into the above function:
6.2*10 + 4.2*2 = 70.4
The maximum profit is when they make 10 units of A and 2 units of B.
<u><em>Answers:</em></u>
a. miles/day
b. 14 miles
<u><em>Explanation:</em></u>
<u>Part a:</u>
We are given that they paddled a total distance of 14 miles for 3 days. To get the distance paddled each day, we will divide the total paddled distance by the number of days
<u>This is done as follows:</u>
Distance paddled each day = miles/day
<u>Part b:</u>
<u>Now, we are given that:</u>
<u>i. They went half their daily distance:</u>
Daily distance = miles/day
<u>ii. They extended the trip twice as many days</u>
Number of days = 2 × 3 = 6 days
The total distance paddled will be equivalent to the product of the distance paddled each day and the total number of days
<u>This means that:</u>
Total distance = miles
Hope this helps :)
