hello i would like to get help with these questions please also include the explanation

1.A company has invested in an online tool that is expected to generate a continuous revenue at a rate that increases 207 thousand TLs per time periodt(t= 0 is when the tool begins to function). A continous promotion cost (in thousand TLs) function for 329 time periods, C(t), is also derived for the machine, C(t) = -t2+ 329t.Find out when the tool starts to generate more revenue than cost per time period.

a)After 329 periods

b)After 122 periods

c)After 61 periods

d)After 327 periods

e)Immediately

2.Redleaf company's market research department works on the manufacture and marketing of a winter tire for vehicles. Currently the price is 10$, and the demand is 17000 units. When the price is increased to 15$, the company expects the demand to be14500 units (assume that price is linearly related to demand.). Company is following a make-to-order policy for their production, meaning that they make production as much as ordered from their dealers. The dealers make orders 3 times a year, on January, May and September. The company has 23 dealers, who do not have any capacity restriction on their orders. Yet, the above information is a country-wise research, and shows the aggregate demand (sum of all dealers' orders) for each price. Regardless of the production amount, the company faces with a1280$ of administrative cost for production, in addition to1.9$ cost of raw materials and labour costs per each units produced.

Which of the following presents the correctmarginalprofitfunction, ifd is demand and p is price?

a)MP(d) = 42.100d - 0.004 d^2

b)MP(p) = ((8.100p - 0.000 p^2)*23)/3

c)MP = p

d)MP(p) = 8.100p - 0.000 p^2

e)MP(d) = 42.100 - 0.004 d

3.A herbal tea producer company has 24 different products in the market, each are produced in one of the 3 factories owned by the company. The weights of the products in monthly sales may vary depending on time of the year (demands of certain products shift to others in each of the 4 seasons), age of the products and market conditions, but yearly aggregate demand has a very strong correlation with the price of the product (Here, we ignore any other factor and assume that the yearly aggregatedemand is directly and linearly effected by the price). The company found out that when the price for a packet of 20 herbal tea bags is 10 TL, yearly demand is 302400 packets. When the price increases to 11 TL, demand decreases to 301968 packets.

On the cost side, the company has 4000000 TL of yearly administrative costs regardless of the price or the number of units sold, including the rents, depreciation of the buildings and other related assets and salaries of 58 workers (average monthly salary for white-collar and blue-collar workers are 5,000TL and 3,500 TL respectively). Additionally, approximately137 TL cost per each packet of tea produced and sold (Assume that the total production is equal to total sales for the sake of simplicity).

What is the optimal profit?

a.32051372

b.31136612

c.35459532

d.31459532 -2000000

e.31459532

4.Redleaf company's market research department works on the manufacture and marketing of a winter tire for vehicles. Currently the price is 10$, and the demand is 17000 units. When the price is increased to 15$, the company expects the demand to be14500 units (assume that price is linearly related to demand.). Company is following a make-to-order policy for their production, meaning that they make production as much as ordered from their dealers. The dealers make orders 3 times a year, on January, May and September. The company has 23 dealers, who do not have any capacity restriction on their orders. Yet, the above information is a country-wise research, and shows the aggregate demand (sum of all dealers' orders) for each price. Regardless of the production amount, the company faces with a1280$ of administrative cost for production, in addition to1.9$ cost of raw materials and labour costs per each units produced.

How much the profit would change if the price is changedfrom 5 to 39?

a)873100.000

b)903500.000

c)Cannot comment based on this information

d)922500.000

e)71900.000