You are currently considering to join the Bakery business and advertise your products online. You discovered that you will be able to sell 10000 items if you set the price of 1 bread at RM2.50. However, you will be able to sell another 2000 items for every 10 cents price lowered below RM2.50. Assume that your fixed costs is RM3500, and the cost of production per item is RM0.90. Find i) the price that you should set per bread. ii) the number of breads that should be sold to maximize profit. iii) the maximum profit that you can get.
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.
a) You are currently considering to join the Bakery business and advertise your products online. You discovered that you will be able to sell 10000 items if you set the price of 1 bread at RM2.50. However, you will be able to sell another 2000 items for every 10 cents price lowered below RM2.50. Assume that your fixed costs is RM3500, and the cost of production per item is RM0.90. Find
i) the price that you should set per bread.
ii) the number of breads that should be sold to maximize profit.
iii) the maximum profit that you can get.
b) The area of rectangular garden is 1000m2. The owner wishes to enclosed the garden on on side by a brick wall costing RM30 per meter and on the other three sides by a metal fence costing RM10 per meter.
Show that the cost, C, of the material is
C=40x+\frac{20000}{x}
Find the dimension that will minimize the cost.
Hence find the minimum cost to enclosed the garden.
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