Hello expert, pease answer these (quantitive methods) questions. thank you so much

Please solve the following exercises and write complete solution. Question # 1: An electronics firm decides to launch two models of a tablet, TABI and TAB2. The cost of making each device of type TABI is $120 and the cost for TAB2 is $160. The firm recognizes that this is a risky venture, so it decides to limit the total weekly production costs to $4000. Also, due to a shortage of skilled labour, the total number of tablets that the firm can produce in a week is at most 30. The profit made on each device is $600 for TABI and $700 for TAB2. How should the firm arrange production to maximize profit? Question # 2: An Italian restaurant offers a choice of pasta or pizza meals. It costs $3 to make a pasta dish, which it sells for $13. The corresponding figures for pizzas are $2 and $10, respectively. The maximum number of meals that can be cooked in a week is 1200 and the restaurant has a weekly cost budget of $3000. How many pasta and pizza dishes should be cooked each week to maximize profit? Question # 3: In a student's diet a meal consists of beefburgers and chips. Beefburgers have 1 unit of nutrient N1, 4 units of N2 and 125 calories per ounce. The figures for chips are 1/2 unit of N1, 1 unit of N2 and 60 calories per ounce. In the interests of the student's health it is essential for the meal to contain at least 7 units of N1 and 22 units of N2 What should the student ask for on the next visit to the refectory to satisfy the nutrient requirements and minimize the number of calories? Question # 4: An insurance company employs full and part- time staff, who work 40 and 20 hours per week, respectively. Fulltime staff are paid $800 per week and part-time staff $320. In addition, it is company policy that the number of part-time staff should not exceed one-third of the number of fulltime staff. If the number of worker-hours per week required to deal with the company's work is 900, how many workers of each type should be employed in order to complete the workload at minimum cost? Question # 5: The demand equation of a good is given by P + 2x = 20 and the total cost function is - 8+ 20x + 2 (a) Find the level of output that maximizes total revenue. (b) Find the maximum profit and the value of x at which it is achieved. Question #6: A trading company expects to sell 15,000 mixers during the coming year. The cost of storing a mixer for is SR 2 per month and the ordering cost is SR 540 per order. a) Find the Economic Order Quantity. b) Calculate the total stock cost. c) How much will EOQ be changed if there is 10% increase in the price of a mixer? Question #7: An estate agency employs ten qualified sales consultants. The annual salaries and years of experience in the business of these ten are as follows: Experience years Salary (5000) 1 13 4 18 3 19 2 22 7 25 27 8 5 31 13 36 20 38 22 42 a) Chose the appropriate independent and dependent variables X and Y. b) Find the equation of regression line. c) Find Pearson correlation coefficient and interpret it. d) Find the coefficient of determination and interpret it. Question #8: The scores for by eight students in the courses Quantitative Methods and Finance are as follows: Quantitative Finance Methods 70 60 46 66 94 90 34 46 20) 16 86 98 18 24 56 00 Compute the student's ranks in the two subjects and compute the Spearman rank correlation coefficient and comment on its value