market study determined that for each unit a good is sold Hi-Fi electronics the unit price of it falls by $ 380 [MU]. Yes when not units of this good are sold, the unit price is $ 8,360 [MU]., determine: a) The model or function that relates the unit price X of the good in relation to the quantity sold and, knowing that it is linear. b) How many units of the good must be sold, so that the unit price is $ 2660 [UM]. c) How many units must be sold so that each one is exactly free? one of them? d) Using a graph, determine the domain and economic path of the function of unit price
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
market study determined that for each unit a good is sold Hi-Fi electronics the unit price of it falls by $ 380 [MU]. Yes when not units of this good are sold, the unit price is $ 8,360 [MU]., determine:
a) The model or function that relates the unit price X of the good in relation to the quantity sold and, knowing that it is linear.
b) How many units of the good must be sold, so that the unit price is $ 2660 [UM].
c) How many units must be sold so that each one is exactly free? one of them?
d) Using a graph, determine the domain and economic path of the function of unit price
Part (a)
P0 = Price when no unit is sold = 8,360
Rate of decline of the price = m = 380
Hence, P(Q) = P0 - mQ
Or, P(Q) = 8,360 - 380Q
where Q is the number of units sold
Part (b)
We have to find Q such that P(Q) = 2,660
Hence, 2,660 = 8,360 - 380Q
Hence, Q = (8,360 - 2,660) / 380 = 15
Part (c)
We have to find Q such that P(Q) = 0
Hence, 8,360 - 380Q = 0
Hence, Q = 8,360 / 380 = 22
Step by step
Solved in 3 steps with 1 images