t-shirt orders\nuse the following information to answer the questions:\na company produces custom t-shirts…

t-shirt orders\nuse the following information to answer the questions:\na company produces custom t-shirts. the cost to produce 50 t-\nshirts is $200. the company wants to produce a bulk order of 200\nt-shirts and sell them at a 50% markup on the production cost.\nadditionally, they plan to offer a 10% discount on the final selling\nprice for orders over 150 t-shirts.\npart a\ncalculate the production cost for 200 t-shirts.\n$\npart b\ndetermine the total selling price before the discount.\n$\npart c\nfind the final selling price after applying the discount.\n$

t-shirt orders\nuse the following information to answer the questions:\na company produces custom t-shirts. the cost to produce 50 t-\nshirts is $200. the company wants to produce a bulk order of 200\nt-shirts and sell them at a 50% markup on the production cost.\nadditionally, they plan to offer a 10% discount on the final selling\nprice for orders over 150 t-shirts.\npart a\ncalculate the production cost for 200 t-shirts.\n$\npart b\ndetermine the total selling price before the discount.\n$\npart c\nfind the final selling price after applying the discount.\n$

Answer

Explanation:

Part A: Calculate the production cost for 200 T - Shirts

Step1: Find the cost per T - shirt

The cost to produce 50 T - shirts is $200. So the cost per T - shirt (c=\frac{200}{50}) [c = 4]

Step2: Calculate the cost for 200 T - shirts

If the cost per T - shirt is $4, then for (n = 200) T - shirts, the production cost (C=n\times c) [C=200\times4=800]

Part B: Determine the total selling price before the discount

Step1: Calculate the markup amount

The production cost (C = 800). A 50% markup means the markup factor is (1 + 0.5=1.5) The selling price before discount (S_1=C\times(1 + 0.5)) [S_1=800\times1.5 = 1200]

Part C: Find the final selling price after applying the discount

Step1: Calculate the discount factor

A 10% discount means the discount factor is (1-0.1 = 0.9) The final selling price (S_2=S_1\times(1 - 0.1)) [S_2=1200\times0.9=1080]

Answer:

Part A: ($800) Part B: ($1200) Part C: ($1080)