a) Creatine Pro is a local startup business that specializes in breathable gym wear. They have hired Krzy Consultants to

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a) Creatine Pro is a local startup business that specializes in
breathable gym wear. They have hired Krzy Consultants to create
systems and processes for the production of their gym wear . Krzy
has compiled the following information. The supply function is
represented by P=3Q +60 and the demand function by the equation
P=50-12Q The total revenue and total costs functions of the company
are given below. Total Costs = −100Q2 + 460Q4 – 145Q3 -475 Total
Revenue= 2000 + 450Q4 Given the above information answer the
following questions: i. Sketch the demand and supply functions and
determine their equilibrium point. [4] ii. Calculate the marginal
revenue and marginal costs. [4] iii. Calculate the profit function
and derive the marginal profit. [3] iv. Derive the breakeven
function. [2] v. Determine total costs and total revenue when the
quantity produced is 10 units [4] vi. Assuming that the monthly
marginal cost for the gym wear in May 2019 was MC = x + 90, What
was the total cost function for May 2019? [3]