Work must be clearly provided in order to get full credit. Process is as important as the final answer, and your conclusion is as important as the final answer.

5. The demand equation fora new WiFi gadget is 4102 + 5pq2 = 1: 200. wherep is the price per unit in US dollars and q is the number of this WiFi gadgets [in thousands} demanded. i . an ll} Find dp iii} If the price of each unit is U$10, how manhl units of the gadgets are in demand? {iii} Evaluate the instantaneous rate of change at the unit price of U$1D. {iv} Summarize what you nd in part [ii] and IIiii] in complete sentences. 6. For producing n Lvson vacuum cleaners. the total cost in US dollars 0 (n) is 0.0004n3 0.0300.2 + rt + 2,000 and the revenue cost R (n) is 450e,. When production is 120 units, nd (0 the cost, C(120). iii} the marginal cost. 6\" [120). {iii} the average cost. 5(120]. .- {iv} the marginal average cost. 0 [120}. iv} Interpret the four results in part ii}. {ii}, {iii} and {iv} with complete sentences and proper unit of measurement. 1A publishing company has published a new e magazine for young adults. The yearly sales .3 [in thousands) is given by S[t) : [t 4:121nt2 + 24, where t is the number of years since the rst issue was published and D S t S 5.5 years. Find the answers to two decimal places for: [i} the yearly sales at the end of the 6th year, that is, 3(6). [ii]I the average rate of yearly sales from the end of the 4th to the end of the 6th year. [iii]I the instantaneous rate of yearly sales at the end of the 6th year. [iv]I based on the three results in part [i2]. {ii}. and [iii], provide a summary to the company's owner regarding the sales forecast at the end of 5'\" year. Use complete sentences and proper units of measurement. 8. When manufacturing new smart phone. model ApricotEye 516. the total cost in dollars. C (n) = 0.0004713 0.030112 l 20011 l 28, 000 and the total revenue in dollars, R {n} = 42511, where 'n. is thousands oprricotEye 516 phones. [i]I Find the marginal cost when production is 200,000 units. [ii] Find the marginal average prot at the same production level in {i}. [iiil Interpret the result in part [i]I and {ii}. Provide complete sentences and proper units of measurement. [iv] If the production is increasing at the rate of 15,000 ApricotEye 516 phones per week when production is 200,000 units. nd the rate of increase in prot %. [vi Interpret the result in part [iv]. Provide complete sentence and proper units of measurement