Question 2: To be compot5ve. your company has been paying each empioyee $22.78 dollars per hous, which is $5.91 dollars per hour MofE than the overall hourly wage reported by the Bts This is the hourly pay rate for each employce if they work 40 heurs per week or less, If an employee works over 40 hours in a week, then your company has guaranseed that thery got paid the overtime rate of 534,17 dollass per hour for esch hour worked in excess of 40 hours in a week. Create a function W(t) that represents an employee's weekly wsoes as a funetion of the number of heurs f thoy work in a wesk. W(t)={lif0t40ift>40 Questioa 3: Your employees are pald every 2 woeks, You pay $294.00 in fringe benefts per pay poriod per employee. Suppose you cannot have ary of your existing employees work overtime. How mary new employees do you need to hice so that 52800 skateboards are produced each weok, assuming at employees (both old and new) work 40 hours per weok? (Assume new employees ean $2.29 der hour mare than the BLS's overall hourly wage, and that no serier employees may be fired) ( ) Question 4: if a newly-tired employee works over to houns in a week, then your company has puaranteed that they get paid the overtme rate of 1.5 times their reguiar hounty rate. (Recal that a new employee's repular hourly rate for working 40 hours per week or loss is $2.29 per hour move than the BLS's overall houty wago) Crease a function J(t) that represents the weeby wages for a NEW employee \{n junior employee) as a function of the number of hours f they work h a week. f(t)={if0i40ift>40 Question 5: Based en the number of new errployees hiced, in one pay period, how mueh does the comoaty pay in employee wages for at employoes? (include the pay af oild encioyees and new amoloveea. Assume everv emolovee works exacty 40 hours per week Note that new employees also pet fringe berefis once per 2-week pay periodj Question 6: Suppose if costs $4.96 in supplies to produce 1 skaleboud. Your cempany has ficed monthy costs of $300.00. The other monthly costs are errployee wagos (old employces and your new employees each work 40 hours per week with no overtime, which you previoualy computed the amount of over a pay period) and supples for production. Assuming I month is 4 wedks. What ahould the price of each skataboard in order to break even over the course of a mocth, It 52800 akatebeards ase produced each wook? 515.58. the medan hourly wage in 2019 for men 26 years and older was $18.05, while the medan houry wage in 2019 overall lor those 25 yeurs and clder was $16.87, (Wo witi cal 516.87 the Cova. how many hours wnuld thie nmein newe en make a total of 52800 skeneboards? of hours i they work h s week. W(t)={in0titt>40 f(n)={101054011>40 Question 5: Based on the number of nenw empleyoes hired, in one pay period, haw much does the corrpany pay in employes wagen for at ompleyies? include the ker of oid amployes and akateboards ine produced each week. What is the monthly profe? houn for the rival compary? corncaric to match their salay when they worked for the tival compary for 40 hours per week? (t poind According to Table 20 in this Yoar 2019 report (clak for the PCF repori) by the U.S. Bureas of Labor Statistica (BLSN the medan hourly wage in 2019 for women 25 yean and dider was \$15.58, the modian houly wage in 2019 for men 25 yearn and older was $18.05, while the median houty wage in 2019 overall lor those 25 years and older was 516.87. W. wit cill 516.87 the Cowite Quession 1: Your compery produces skatebaards which employs 45 people and each employee works ful-time (40 hours per woek). Ench omployce can produce 24 skatiboards per houe inow many hours (that is, how mary pernon-hours) must be worked so that your tadility can produce 52800 skatoboards each week? in other words, if one person were to mabs all the skutebonts how many hours would this perscen noed to make a fotal of 52800 skateboards? Question 2: To be competitive, your company has been poying esch employee $22.78 dollars per houc, which is 35.91 dolass por hour Mone than the overal houny wace reperted by the Bi.5. This is the hourly pary rate for each employee if they work 40 hours per week or less. If an emplayee works over 40 hourt in a week, then your company has guaranteed that they get paid thn overtime rate of $34.17 dolars per hour for each hour woked in excess of 40 hours in a week. Creste a function W(f) that ropresents an employee 's woeldy wages as a function of the number of hours t they work in a week: W(f)={is0t4ift>40 Question 3: Your employees are paid every 2 woeks. You pay $294.00 in fringe benefits per pay period per employee. Supoose you eannot have ary of your existing enfitioyees wish cavertme How many new employees do you need to hire so that 52800 shasebcards are produced each weok, assuming al amployees (both aid and newi) work 40 hours per weeki? (Aasume new nenw empleyee's requlae hourty rate for working 40 hours per weok or less is $2.29 per hour more than the BLS's overal houlfy wagat Create a function f(t) that represents the weekly wages Sor a NEW omployee (a junior employee) as a Aunction of the number of hours f they work in a wrek emplioyess eaen 12.29 per hout mare than the B. 8 is overali houly waga and that no tonior employeet may be tred ) for a NEW esployee (a kinior employed at a tunctos of the number of bosin i they wonk is a week J(n)={2010r40 whatsonainte are dectuced each week. What a the montrly prefte? houn tor the nivel comcasiz