Instructions: For the following real-world problem, solve using any method. Use what you’ve learned to determine which method would be best. Put your answer in the context of the problem and determine the appropriate final answer.A business uses the following quadratic to model their profits where x𝑥 is number of products sold, in thousands: −x2+14x+94=0−𝑥2+14𝑥+94=0. Once they get to a certain number of products created, they no longer make a profit because of how taxing it is on their factories. Solve the quadratic to find the number of products that will cause them to no longer make a profit.What are the two solutions in exact form? x=𝑥= +√+ or −√− .What are the rounded values (to two decimal places)? or .Which of these answers makes sense in context to be the value of the number of products? x=𝑥=

Instructions: Use the given information to answer the questions and interpret key features. Use any method of graphing or solving.The roots of the quadratic function describing the relationship between number of products produced and overall profit margin are x=0𝑥=0 and 2828. The vertex is a minimum at (14,−40)(14,−40).The company actually loses money on their first few products as it costs them more to make them, but once they hit items they break even again.The worst case scenario is that they produce items, as they will have a profit of dollars. The first root tells us that the profit will be 00 when products are sold.

The total cost (in dollars) for a company to manufacture and sell 𝑥 items per week is 𝐶=50⁢𝑥+2960, whereas the revenue brought in by selling all 𝑥 items is 𝑅=140⁢𝑥-0.6⁢𝑥2. How many items must be sold to obtain a weekly profit of $400?Hint: Profit = Revenue - Cost.They need to sell or items.

Suppose that a firm produces 200,000 units a year and sells them all for $10 each. The explicit costs of production are $1,500,000 and the implicit costs of production are $300,000. The firm earns an accounting profit of ________ and an economic profit of ________.Multiple Choice$500,000; $200,000$500,000; $1,700,000$1,700,000; $200,000$1,700,000; $500,000

A business has fixed costs of $3,570 per month and the product sells for $105. The variable cost is $26 per unit.The business wishes to make a profit of $4,227 AFTER tax.How many units must be sold? Answer in whole units only.

Our company sells a product for $120 per unit. Variable costs are $90 per unit and fixed costs are $4,000. The company expects to sell 200 units this year. How many units must we sell to earn a profit of $2,000?Group of answer choices200250300340